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Published byFrederick Norton Modified over 9 years ago
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Ch 7 Graphs and Linear Equations Review on Graphing
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x y Ordered Pair (x, y) Coordinate Plane “origin” (0,0)
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x y Ordered Pair (5, 4) Coordinate Plane “origin” (0,0)
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x y Ordered Pair (5, -4) Coordinate Plane “origin” (0,0)
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x y Ordered Pair (-5, -4) Coordinate Plane
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x y Ordered Pair (-5, 0) Coordinates
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x y Graph (0, 6) (0,6) quadrants first quadrant second quadrant third quadrant fourth quadrant Not in a quadrant if on either axis
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x y What are the coordinates? Which quadrant? (1,1)
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x y (-3, 3) What are the coordinates? Which quadrant?
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x y (5, -2) What are the coordinates? Which quadrant?
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x y (0, -5) What are the coordinates? Which quadrant? Not in a quadrant if on either axis
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7.2 Graphing Equations
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Determine if the ordered pair is a solution of the equation. y = 2x + 1 (3, 7 ) 7 = 2(3) + 1 YES The ordered pair (3,7) is a solution.
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Determine if the ordered pair is a solution of the equation. 4y - 3x = 22 (-2, 4 ) 4(4) – 3 (-2)= 22 YES The ordered pair (-2,4) is a solution. 16 + 6 = 22
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Determine if the ordered pair is a solution of the equation. y - 3x = -2 (-2, 8 ) (8) – 3 (-2)= -2 ??? NO The ordered pair (-2,8) is not a solution. 8 + 6 -2
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Graphing Equations Make a Table
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Making a Table 1.Solve the equation in y = format (slope intercept form) 2.Pick your x values (-1, 0,1) unless slope is a fraction and y-intercept is not 3.Plug in the x values into x in the equation to find the corresponding y values 4.Plot the (x, y) ordered pairs on the coordinate plane
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x y Graph: y = x yx
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x y Find 3 solutions y = 2x + 1 X ValuesY=2x + 1 Y Values(x,y) 1 0 2(1) +1 3(1,3) 2(0) +1 1 (0,1) 2(-1) +1 (-1,-1)
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Solve for ‘y’ Solve for ‘y’ means “get y all by itself”
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x y Graph: -2x + y = 5 y = 2x + 5 XY=2x +5Y(x,y) 1 0 2(1) +57(1,7) 2(0) +55(0,5) 2(-1)+53(-1,3)
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x y Graph: - 2x + 3y = 15 3y = 2x + 15 Y=2/3x +5 x y(x,y) 3 0 -3 (2/3)(3) +5 7 (3,7) (2/3) (0) +5 5 (0,5) (2/3)(-3)+5 3 (-3,3)
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x y Graph: 3x - y = 2 yx 3x = y + 2 3x - 2 = y
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Assignment: Page 311 (2-26 even, 28-31 all) -
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