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X and Y Intercepts

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**The y intercept is the point at which the graph of an equation crosses the y axis.**

y = 2x + 3 y (0,3) x

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**The y intercept is the point at which the graph of an equation crosses the y axis.**

y = 2x + 3 y Notice that the x value is zero. (0,3) x

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**The x intercept is the point at which the graph of an equation crosses the x axis.**

y = 2x + 3 y (-3/2 ,0) x

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**The x intercept is the point at which the graph of an equation crosses the x axis.**

y = 2x + 3 y (-3/2 ,0) x Notice that the y value is zero.

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**Example #1 Find the y and x intercepts. Then graph the line.**

y = 2x + 6

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**Example #1 Find the y and x intercepts. Then graph the line.**

y = 2x + 6 y intercept y = 2(0) + 6 y = 6 (0,6)

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**Example #1 Find the y and x intercepts. Then graph the line.**

y = 2x + 6 y intercept y = 2(0) + 6 y = 6 (0,6) x intercept 0 = 2x + 6 x = -3 (-3,0)

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**Example #1 Find the y and x intercepts. Then graph the line.**

y = 2x + 6 y (0,6) (-3,0) x

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**Example #1 Find the y and x intercepts. Then graph the line.**

y = 2x + 6 y (0,6) (-3,0) x

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**Example #2 Find the y and x intercepts. Then graph the line.**

y = 3x + 12

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**Example #2 Find the y and x intercepts. Then graph the line.**

y = 3x + 12 y intercept y = 3(0) y = 12 (0,12)

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**Example #2 Find the y and x intercepts. Then graph the line.**

y = 3x + 12 y intercept y = 3(0) y = 12 (0,12) x intercept 0 = 3x x = -4 (-4,0)

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**Example #2 Find the y and x intercepts. Then graph the line.**

y = 3x + 12 y (0,12) (-4,0) x

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**Example #2 Find the y and x intercepts. Then graph the line.**

y = 3x + 12 y (0,12) (-4,0) x

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Practice Time

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**For each function, find the x and y intercepts. Then graph the line.**

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1) y = ½ x + 4

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**1) y = ½ x + 4 y intercept y = ½ (0) + 4 y = 4 (0,4)**

x intercept 0 = ½ x + 4 x = -8 (-8,0)

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1) y = ½ x + 4 y (0,4) (-8,0) x

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2) y = -2 x + 8

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**y intercept y = -2 (0) + 8 y = 8 (0,8)**

2) y = -2 x + 8 y intercept y = -2 (0) + 8 y = 8 (0,8) x intercept 0 = -2 x + 8 x = 4 (4,0)

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2) y = -2 x + 8 y (0,8) (4,0) x

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3) y = -3x - 4

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**3) y = -3x - 4 y intercept y = -3 (0) - 4 y = -4 (0,-4)**

x intercept 0 = -3 x - 4 x = -4/3 (-4/3,0)

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3) y = -3x - 4 y (-4/3,0) x (0,-4)

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4) y = 8x - 2

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**y intercept y = 8 (0) - 2 y = -2 (0,-2)**

4) y = 8x - 2 y intercept y = 8 (0) - 2 y = -2 (0,-2) x intercept 0 = 8 x - 2 x = 1/4 (1/4,0)

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4) y = 8x - 2 y (1/4,0) x (0,-2)

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5) 2x + 3y = 6

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**5) 2x + 3y = 6 y intercept 2(0) + 3y = 6 y = 2 (0,2)**

x intercept 2x + 3(0) = 6 x = 3 (3,0)

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5) 2x + 3y = 6 y (0,2) (3,0) x

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6) 5x + 2y = 10

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**6) 5x + 2y = 10 y intercept 5(0) + 2y = 10 y = 5 (0,5)**

x intercept 5x + 2(0) = 10 x = 2 (2,0)

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6) 5x + 2y = 10 y (0,5) (2,0) x

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7) -3x + 5y = 9

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**7) -3x + 5y = 9 y intercept -3(0) + 5y = 9 y = 9/5 (0,9/5)**

x intercept -3x + 5(0) = 9 x = -3 (-3,0)

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7) -3x + 5y = 9 y (0,9/5) (-3,0) x

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8) -2x - 3y = 10

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**8) -2x - 3y = 10 y intercept -2(0) - 3y = 10 y = -10/3 (0,-10/3)**

x intercept -2x - 3(0) = 10 x = -5 (-5,0)

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8) -2x - 3y = 10 y (-5,0) (0,-10/3)

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