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Published byHester McBride Modified over 9 years ago
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Analytic Geometry Review
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The Plane
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Horizontal Axis: X Vertical Axis: Y The intersection is called the origin (0,0) All ordered pairs are given as (X,Y)
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To plot the point (3,2)
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X Y (3,2) -4 -3 -2 -1 1 2 3 4 3 2 -2 -3 23
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Plot the point (4,-3)
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X Y (4,-3) -4 -3 -2 -1 1 2 3 4 3 2 -2 -3 -3 4
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To plot the point (-3, 1)
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X Y (-3,1) -4 -3 -2 -1 1 2 3 4 3 2 -2 -3 1-3
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BATTLESHIP
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You get 5 boats 3 dots long 4 dots long 5 dots long 6 dots long 7 dots long
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3 dot ship 4 dot ship 1 2 3 4 5 6 7 8 9 10 1 2 3 4 5 6 7 8 9 10 Call (3,5) Miss!!! Call (4,9) HIT!!
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Consider the linear relationship of getting paid $7.00 / hour This relationship can be expressed in 3 ways: 1. A table of values 2. A graph 3. An equation
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Generate a table of values PT 7 14 21 0 1 2 3 0 Make a graph: (3,21) (2,14) (0,0) (1,7) T P Equation: P = 7T (Y = 7X) 7 1 FD --- 7 7 7 Slope = run = 7 1 rise
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Suppose you get paid $20.00 for just showing up (gas?…)
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Generate a table of values PT 27 34 41 20 1 2 3 0 Use the same graph T P Equation: P = 7T + 20 (Y = 7X + 20) (0,20) (1,27) (2,34)
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For the equation y = mx + b Algebraically m : the rate of change b : the initial value Graphically m : the slope b : the y-intercept (where the line crosses the y axis)
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y = mx + b slope y- intercept
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For example: It cost $4000.00 to rent a studio plus $5.00 to make each CD. Write the equation: C = 5d + 4000
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For example: It cost $2000.00 to rent a hall plus $5.00 per person to attend. Write the equation: C = 5d + 2000
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For example: It is 20 degrees at noon, and the temperature drops 2 degrees every hour. Write the equation: T = – 2h + 20
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The equation of a straight line can be represented by the equation y = mx + b It can also be written as Ax + By + C = 0
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To graph a line in this form, find the x and y intercepts. Ex. Graph 4x + 3y + 12 = 0 x y 0 4(0) + 3y + 12 = 0 3y + 12 = 0 3y = -12 y = -4 -4
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To graph a line in this form, find the x and y intercepts. Ex. Graph 4x + 3y + 12 = 0 x y 0 4x + 3(0) + 12 = 0 4x + 12 = 0 4x = -12 x = -3 -4 0-3
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Graph a line passing through the points (0,4), (-3,0) X Y (0,-4) (-3,0)
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Pg 4 1,2 Pg 5 1,2, then 1
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