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Functions Test Review
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What kind of slope is it? Purple Line: Red Line: Blue Line:
Green Line:
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What kind of slope is it? Purple Line: Undefined Red Line: Blue Line:
Green Line:
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What kind of slope is it? Purple Line: Undefined Red Line: Negative
Blue Line: Green Line:
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What kind of slope is it? Purple Line: Undefined Red Line: Negative
Blue Line: Positive Green Line:
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What kind of slope is it? Purple Line: Undefined Red Line: Negative
Blue Line: Positive Green Line: Zero
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Find the equation in slope intercept form given the following:
Slope is -2 Passes through (5,-1)
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Find the equation in slope intercept form given the following:
Slope is -2 Passes through (5,-1) Plug in: y– y1 = m ( x – x1)
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Find the equation in slope intercept form given the following:
Slope is -2 Passes through (5,-1) Plug in: y– y1 = m ( x – x1) y – (-1) = (-2)(x-5)
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Find the equation in slope intercept form given the following:
Slope is -2 Passes through (5,-1) Plug in: y– y1 = m ( x – x1) y +1 = (-2)(x-5) distribute
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Find the equation in slope intercept form given the following:
Slope is -2 Passes through (5,-1) Plug in: y– y1 = m ( x – x1) y +1 = (-2)(x-5) y + 1 = -2x +10
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Find the equation in slope intercept form given the following:
Slope is -2 Passes through (5,-1) Plug in: y– y1 = m ( x – x1) y +1 = (-2)(x-5) y + 1 = -2x +10
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Find the equation in slope intercept form given the following:
Slope is -2 Passes through (5,-1) Plug in: y– y1 = m ( x – x1) y +1 = (-2)(x-5) y + 1 = -2x +10 y = -2x +9
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What is the equation of line RS if R(-2,3) and S(2,-5)
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What is the equation of line RS if R(-2,3) and S(2,-5)
First, find the slope
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What is the equation of line RS if R(-2,3) and S(2,-5)
First, find the slope y2 – y1 x2 – x1
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What is the equation of line RS if R(-2,3) and S(2,-5)
First, find the slope y2 – y1 x2 – x1 -5– 3 2 – (-2) =
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What is the equation of line RS if R(-2,3) and S(2,-5)
First, find the slope y2 – y1 x2 – x1 -5– 3 2 – (-2) = -8 4 =
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What is the equation of line RS if R(-2,3) and S(2,-5)
First, find the slope y2 – y1 x2 – x1 -5– 3 2 – (-2) = -8 4 = = -2
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What is the equation of line RS if R(-2,3) and S(2,-5)
Slope = -2 Now we plug in:
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What is the equation of line RS if R(-2,3) and S(2,-5)
Slope = -2 Now we plug in: y– y1 = m ( x – x1)
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What is the equation of line RS if R(-2,3) and S(2,-5)
Slope = -2 Now we plug in: y– y1 = m ( x – x1) y – 3 = (-2)(x-(-2))
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What is the equation of line RS if R(-2,3) and S(2,-5)
Slope = -2 Now we plug in: y– y1 = m ( x – x1) y – 3 = (-2)(x+2)
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What is the equation of line RS if R(-2,3) and S(2,-5)
Slope = -2 Now we plug in: y– y1 = m ( x – x1) y – 3 = (-2)(x+2) distribute
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What is the equation of line RS if R(-2,3) and S(2,-5)
Slope = -2 Now we plug in: y– y1 = m ( x – x1) y – 3 = (-2)(x+2) y – 3 = -2x -4
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What is the equation of line RS if R(-2,3) and S(2,-5)
Slope = -2 Now we plug in: y– y1 = m ( x – x1) y – 3 = (-2)(x+2) y – 3 = -2x -4
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What is the equation of line RS if R(-2,3) and S(2,-5)
Slope = -2 Now we plug in: y– y1 = m ( x – x1) y – 3 = (-2)(x+2) y – 3 = -2x -4 y = -2x -1
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What is the equation of line RS if R(-2,3) and S(2,-5)
y– y1 = m ( x – x1) y – 3 = (-2)(x+2) y – 3 = -2x -4 y = -2x -1 So RS has the equation y=-2x-1
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Find the equation of the line that passes through P and Q
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Find the equation of the line that passes through P and Q
Record the points Q P
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Find the equation of the line that passes through P and Q
Record the points P(-6,-3) Q(-2,3) Q P
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Find the equation of the line that passes through P and Q
Find the slope Q P
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Find the equation of the line that passes through P and Q
Find the slope Q y2 – y1 x2 – x1 P
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Find the equation of the line that passes through P and Q
Find the slope Q y2 – y1 x2 – x1 = 3-(-3) -2-(-6) P
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Find the equation of the line that passes through P and Q
Find the slope Q y2 – y1 x2 – x1 = 3 + 3 -2+6 P
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Find the equation of the line that passes through P and Q
Find the slope Q y2 – y1 x2 – x1 = 3 + 3 -2+6 P = 6 4
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Find the equation of the line that passes through P and Q
Find the slope Q y2 – y1 x2 – x1 = 3 + 3 -2+6 P = 6 4 3 2 =
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Find the equation of the line that passes through P and Q
m= 3/2 Q P
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Find the equation of the line that passes through P and Q
m= 3/2 P Q y– y1 = m ( x – x1)
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Find the equation of the line that passes through P and Q
m= 3/2 P Q y– y1 = m ( x – x1) y – 3 = (3/2)(x-(-2))
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Find the equation of the line that passes through P and Q
m= 3/2 P Q y– y1 = m ( x – x1) y – 3 = (3/2)(x+2)
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Find the equation of the line that passes through P and Q
m= 3/2 P Q y– y1 = m ( x – x1) y – 3 = (3/2)(x+2) y – 3 = (3/2)x+3
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Find the equation of the line that passes through P and Q
m= 3/2 P Q y– y1 = m ( x – x1) y – 3 = (3/2)(x+2) y – 3 = (3/2)x+3 y = (3/2)x + 6
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What makes lines PARALLEL?
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What makes lines PARALLEL?
They have the SAME slope y = mx + b
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What makes lines PARALLEL?
They have the SAME slope y = mx + b Give me a line parallel to the given lines: y = 3x y = -(1/2)x +(3/2) y = (1/3)x-1 y= x=3
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What makes lines PARALLEL?
They have the SAME slope y = mx + b Give me a line parallel to the given lines: y = 3x y = -(1/2)x +(3/2) y = (1/3)x-1 y = 3x y = -(1/2)x y = (1/3)x+1777 y= x=3 y=7 x=-15
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What makes lines PERPENDICULAR?
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What makes lines PERPENDICULAR?
Slopes are NEGATIVE RECIPROCALS y = mx + b
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What makes lines PERPENDICULAR?
Slopes are NEGATIVE RECIPROCALS y = mx + b Give me a line perpendicular to the given lines: y = 3x y = -(1/2)x +(3/2) y = (1/3)x-1 y= x=3
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What makes lines PERPENDICULAR?
Slopes are NEGATIVE RECIPROCALS y = mx + b Give me a line perpendicular to the given lines: y = 3x y = -(1/2)x +(3/2) y = (1/3)x-1 y = -(1/3)x y = 2x y = -3x+5 y= x=3 x=7 y=-15
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB y2 – y1 x2 – x1
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB y2 – y1 x2 – x1 9 - 3 1-(-2) =
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB y2 – y1 x2 – x1 9 -3 1+2 =
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB y2 – y1 x2 – x1 9 -3 1+2 6 3 = =
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB y2 – y1 x2 – x1 9 -3 1+2 6 3 = = = 2
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB: m = 2 Line CD: y2 – y1 x2 – x1 =
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB: m = 2 Line CD: y2 – y1 x2 – x1 7 - 5 -4-0 =
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB: m = 2 Line CD: y2 – y1 x2 – x1 2 -4 7 - 5 -4-0 = =
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB: m = 2 Line CD: m=(-1/2) y2 – y1 x2 – x1 2 -4 7 - 5 -4-0 1 -2 = = =
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB: m = 2 Line CD: m=(-1/2) Now that we have both slopes, are these lines parallel, perpendicular, or neither?
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Given A(1,9), B(-2,3), C(0,5), and D(-4,7): describe the relationship between line AB and line CD
Find the slopes of line AB and line CD Line AB: m = 2 Line CD: m=(-1/2) Now that we have both slopes, are these lines parallel, perpendicular, or neither? Perpendicular
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y– y1 = m ( x – x1)
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y– y1 = m ( x – x1) y – (-2) = (-3) (x-1)
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y– y1 = m ( x – x1) y +2 = (-3) (x-1)
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y– y1 = m ( x – x1) y +2 = (-3) (x-1) y +2=-3x +3
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y– y1 = m ( x – x1) y +2 = (-3) (x-1) y +2=-3x +3
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y– y1 = m ( x – x1) y +2 = (-3) (x-1) y +2=-3x +3 y = -3x +1
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y– y1 = m ( x – x1) y +2 = (-3) (x-1) y +2=-3x +3 y = -3x +1 Now that we have the equation, we plug in 4 for x and solve to get the y value
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y = -3x +1 y = (-3)(4) +1
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y = -3x +1 y = (-3)(4) +1 y =
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y = -3x +1 y = (-3)(4) +1 y = y = -11
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If line AB has a slope of -3 and B(1,-2)
If line AB has a slope of -3 and B(1,-2). What is the coordinate of A if x=4 We know our slope and we have a point, so we plug in: y = -3x +1 y = (-3)(4) +1 y = y = -11 So A(4,-11)
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
Get the equation into y = mx + b form 5x -2y = 8
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
Get the equation into y = mx + b form 5x -2y = 8 -2y = -5x +8
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
Get the equation into y = mx + b form 5x -2y = 8 -2y = -5x +8 y = (5/2)x -4
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
Get the equation into y = mx + b form So m = (5/2) 5x -2y = 8 -2y = -5x +8 y = (5/2)x -4
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
Get the equation into y = mx + b form So m = (5/2) Since we are looking for the line PARALLEL to the above equation, the slope for our new equation is also 5/2 5x -2y = 8 -2y = -5x +8 y = (5/2)x -4
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
m = (5/2) Now that we have our slope and a point, Plug in: y– y1 = m ( x – x1)
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
m = (5/2) Now that we have our slope and a point, Plug in: y– y1 = m ( x – x1) y –(-3) = (5/2) (x-(-2))
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
m = (5/2) Now that we have our slope and a point, Plug in: y– y1 = m ( x – x1) y +3 = (5/2) (x+2)
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
m = (5/2) Now that we have our slope and a point, Plug in: y– y1 = m ( x – x1) y +3 = (5/2) (x+2) y +3 = (5/2)x +5
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Find the equation of the line that is parallel to 5x-2y=8 and passes through (-2,-3)
m = (5/2) Now that we have our slope and a point, Plug in: y– y1 = m ( x – x1) y +3 = (5/2) (x+2) y +3 = (5/2)x +5 y = (5/2)x +2
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Find the distance of AB if A(-2,-3) and B(5,3)
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Find the distance of AB if A(-2,-3) and B(5,3)
PLUG IN:
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Find the distance of AB if A(-2,-3) and B(5,3)
PLUG IN: d = √(5-(-2)) 2+ (3-(-3))2
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Find the distance of AB if A(-2,-3) and B(5,3)
PLUG IN: d = √(5-(-2)) 2+ (3-(-3))2 d = √(5+2) 2+ (3+3)2
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Find the distance of AB if A(-2,-3) and B(5,3)
PLUG IN: d = √(5-(-2)) 2+ (3-(-3))2 d = √(5+2) 2+ (3+3)2 d = √(7) 2+ (6)2
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Find the distance of AB if A(-2,-3) and B(5,3)
PLUG IN: d = √(5-(-2)) 2+ (3-(-3))2 d = √(5+2) 2+ (3+3)2 d = √(7) 2+ (6)2 d = √49+ 36
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Find the distance of AB if A(-2,-3) and B(5,3)
PLUG IN: d = √(5-(-2)) 2+ (3-(-3))2 d = √(5+2) 2+ (3+3)2 d = √(7) 2+ (6)2 d = √49+ 36 = √85
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Find the distance of AB if A(-2,-3) and B(5,3)
PLUG IN: d = √(5-(-2)) 2+ (3-(-3))2 d = √(5+2) 2+ (3+3)2 d = √(7) 2+ (6)2 d = √49+ 36 = √85
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R We are given the midpoint, and 1 endpoint. We must find the other endpoint.
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R We are given the midpoint, and 1 endpoint. We must find the other endpoint. We find the X coordinate first. PLUG IN: x1 + x2 2 = x
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R We are given the midpoint, and 1 endpoint. We must find the other endpoint. We find the X coordinate first. PLUG IN: x1 + x2 2 = x 3 + x2 2 = 3
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R We are given the midpoint, and 1 endpoint. We must find the other endpoint. We find the X coordinate first. PLUG IN: x1 + x2 2 = x 3 + x2 2 = 3 3 + x2 = 6
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R We are given the midpoint, and 1 endpoint. We must find the other endpoint. We find the X coordinate first. PLUG IN: x1 + x2 2 = x 3 + x2 2 = 3 3 + x2 = 6 x2 = 3
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R We are given the midpoint, and 1 endpoint. We must find the other endpoint. Now we find the y coordinate. PLUG IN: x1 + x2 2 = x y1 + y2 2 = y 3 + x2 2 = 3 3 + x2 = 6 x2 = 3
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R We are given the midpoint, and 1 endpoint. We must find the other endpoint. Now we find the y coordinate. PLUG IN: x1 + x2 2 = x y1 + y2 2 = y 3 + x2 2 = 3 4 + y2 2 = -2 3 + x2 = 6 x2 = 3
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R We are given the midpoint, and 1 endpoint. We must find the other endpoint. Now we find the y coordinate. PLUG IN: x1 + x2 2 = x y1 + y2 2 = y 3 + x2 2 = 3 4 + y2 2 = -2 3 + x2 = 6 4 + y2 = -4 x2 = 3
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R We are given the midpoint, and 1 endpoint. We must find the other endpoint. Now we find the y coordinate. PLUG IN: x1 + x2 2 = x y1 + y2 2 = y 3 + x2 2 = 3 4 + y2 2 = -2 3 + x2 = 6 4 + y2 = -4 x2 = 3 y2 = -8
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Q is the bisector of segment PR
Q is the bisector of segment PR. If P(3,4) and Q(3,-2), find the coordinates of R We are given the midpoint, and 1 endpoint. We must find the other endpoint. Now we find the y coordinate. PLUG IN: x2 = 3 y2 = -8 So R(3,-8)
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Use the grid to complete the questions. Point A(-4,5)
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA
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Plot your points, and find the coordinates of B and C
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA Plot your points, and find the coordinates of B and C
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Plot your points, and find the coordinates of B and C
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA Plot your points, and find the coordinates of B and C A
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5 4 Plot your points, and find the coordinates of B and C
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA Plot your points, and find the coordinates of B and C A 5 4
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Use the grid to complete the questions. Point A(-4,5)
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA So B(0,0) A 5 B 4
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Use the grid to complete the questions. Point A(-4,5)
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA So B(0,0) A B 8
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Use the grid to complete the questions. Point A(-4,5)
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) A B 8 C
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Use the grid to complete the questions. Point A(-4,5)
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB d = √(0-(-4)) 2+ (0-5)2 A B C
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Use the grid to complete the questions. Point A(-4,5)
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB d = √(0+4) 2+ (0-5)2 A B C d = √(4) 2+ (-5)2
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d = √(0+4) 2+ (0-5)2 d = √(4) 2+ (-5)2 d = √16+ 25
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB d = √(0+4) 2+ (0-5)2 A B C d = √(4) 2+ (-5)2 d = √16+ 25
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d = √(0+4) 2+ (0-5)2 d = √(4) 2+ (-5)2 d = √16+ 25 d = √41 ≈6.4
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB d = √(0+4) 2+ (0-5)2 A B C d = √(4) 2+ (-5)2 d = √16+ 25 d = √41 ≈6.4
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Segment AB= √41 d = √(0-0) 2+ (0-(-8))2
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC A B C d = √(0-0) 2+ (0-(-8))2
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Segment AB= √41 d = √(0-0) 2+ (0+8)2
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC A B C d = √(0-0) 2+ (0+8)2
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Use the grid to complete the questions. Point A(-4,5)
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC A B C d = √(0) 2+ (8)2
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Segment AB= √41 d = √(0) 2+ (8)2 d = √0 + 64
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC A B C d = √(0) 2+ (8)2 d = √0 + 64
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Segment AB= √41 d = √(0) 2+ (8)2 d = √64
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC A B C d = √(0) 2+ (8)2 d = √64
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Segment AB= √41 d = √(0) 2+ (8)2 d = √64 d = 8
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC A B C d = √(0) 2+ (8)2 d = √64 d = 8
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Segment AB= √41 Segment BC= 8
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC= 8 Segment AC A B C
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Segment AB= √41 Segment BC= 8 d = √(0-(-4)) 2+ (-8-5)2
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC= 8 Segment AC A B C d = √(0-(-4)) 2+ (-8-5)2
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Segment AB= √41 Segment BC= 8 d = √(0+4) 2+ (-8-5)2
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC= 8 Segment AC A B C d = √(0+4) 2+ (-8-5)2
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Segment AB= √41 Segment BC= 8 d = √(0+4) 2+ (-8-5)2 d = √4 2+ (-13)2
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC= 8 Segment AC A B C d = √(0+4) 2+ (-8-5)2 d = √4 2+ (-13)2
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Segment AB= √41 Segment BC= 8 d = √(0+4) 2+ (-8-5)2 d = √4 2+ (-13)2
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC= 8 Segment AC A B C d = √(0+4) 2+ (-8-5)2 d = √4 2+ (-13)2 d = √
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Segment AB= √41 Segment BC= 8 d = √(0+4) 2+ (-8-5)2 d = √4 2+ (-13)2
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC= 8 Segment AC A B C d = √(0+4) 2+ (-8-5)2 d = √4 2+ (-13)2 d = √
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Segment AB= √41 Segment BC= 8 d = √(0+4) 2+ (-8-5)2 d = √4 2+ (-13)2
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now that we have our coordinates we need to find our distances. Segment AB= √41 Segment BC= 8 Segment AC A B C d = √(0+4) 2+ (-8-5)2 d = √4 2+ (-13)2 d = √ d = √185 ≈13.6
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Now we find the midpoint of CA Segment AB= √41 Segment BC= 8
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now we find the midpoint of CA Segment AB= √41 Segment BC= 8 Segment AC = √185 A B C
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Now we find the midpoint of CA Segment AB= √41 Segment BC= 8
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now we find the midpoint of CA Segment AB= √41 Segment BC= 8 Segment AC = √185 x1 + x2 , y1 + y2 A B C
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Now we find the midpoint of CA Segment AB= √41 Segment BC= 8
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now we find the midpoint of CA Segment AB= √41 Segment BC= 8 Segment AC = √185 x1 + x2 , y1 + y2 A B C -4+0, 5+-8
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Now we find the midpoint of CA Segment AB= √41 Segment BC= 8
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now we find the midpoint of CA Segment AB= √41 Segment BC= 8 Segment AC = √185 x1 + x2 , y1 + y2 A B C -4, 5+-8
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= Now we find the midpoint of CA Segment AB= √41 Segment BC= 8
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) Now we find the midpoint of CA Segment AB= √41 Segment BC= 8 Segment AC = √185 x1 + x2 , y1 + y2 A B C -4, 5+-8 -4, -3 2 2 =
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= midpoint of CA = (-2, (-3/2)) Segment AB= √41 Segment BC= 8
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) midpoint of CA = (-2, (-3/2)) Segment AB= √41 Segment BC= 8 Segment AC = √185 x1 + x2 , y1 + y2 A B C -4, 5+-8 -4, -3 2 2 =
137
= midpoint of CA = (-2, (-3/2)) Segment AB= √41 Segment BC= 8
Use the grid to complete the questions. Point A(-4,5). Point B is located 5 units down and 4 units to the right. Point C is located 8 units down from B. Find AB, BC, AC, and the midpoint of CA B(0,0) And C(0,-8) midpoint of CA = (-2, (-3/2)) Segment AB= √41 Segment BC= 8 Segment AC = √185 x1 + x2 , y1 + y2 A B C -4, 5+-8 -4, -3 2 2 =
138
Using the above questions,Find the perimete of triangle ABC
Segment AB= √41 ≈6.4 Segment BC= 8 ≈13.6 Segment AC = √185 A B C
139
Find the perimete of triangle ABC
≈6.4 Segment AB= √41 A B C Segment BC= 8 ≈13.6 Segment AC = √185 Now that we have the lengths of the three sides, we can find the perimeter.
140
Find the perimete of triangle ABC
Segment AB= √41 ≈6.4 A B C Segment BC= 8 ≈13.6 Segment AC = √185 Now that we have the lengths of the three sides, we can find the perimeter. AB + BC + AC = Perimeter
141
Find the perimete of triangle ABC
Segment AB= √41 ≈6.4 A B C Segment BC= 8 ≈13.6 Segment AC = √185 Now that we have the lengths of the three sides, we can find the perimeter. AB + BC + AC = Perimeter =P
142
Find the perimete of triangle ABC
Segment AB= √41 ≈6.4 A B C Segment BC= 8 ≈13.6 Segment AC = √185 Now that we have the lengths of the three sides, we can find the perimeter. AB + BC + AC = Perimeter =P P=28
143
Use the function y=x2-4x+6 to find the vertex, the axis of symmetry, and the y intercept
144
Use the function y=x2-4x+6 to find the vertex, the axis of symmetry, and the y intercept
Since the function is given, USE THE CALCULATOR Go to y= and plug in the function
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Use the function y=x2-4x+6 to find the vertex, the axis of symmetry, and the y intercept
Since the function is given, USE THE CALCULATOR Go to y= and plug in the function To find the vertex, Hit graph 2nd TRACE to get to CALC 3-minimum Go to left hit ENTER Go to right hit ENTER ENTER Displays x=2, y=2 so the VERTEX is (2,2)
146
Use the function y=x2-4x+6 to find the vertex, the axis of symmetry, and the y intercept
To get the axis of symmetry Use the x value of the vertex[(2,2)] is the axis of symmetry
147
Use the function y=x2-4x+6 to find the vertex, the axis of symmetry, and the y intercept
To get the axis of symmetry Use the x value of the vertex[(2,2)] is the axis of symmetry So the axis of symmetry is x=2
148
Use the function y=x2-4x+6 to find the vertex, the axis of symmetry, and the y intercept
To find the y intercept: Hit 2nd, GRAPH to get to TABLE Look at the table and find where x=0, what is y?
149
Use the function y=x2-4x+6 to find the vertex, the axis of symmetry, and the y intercept
To find the y intercept: Hit 2nd, GRAPH to get to TABLE Look at the table and find where x=0, what is y? x=0, y=6 So the y intercept is (0,6)
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