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Published byDavis Penn Modified over 2 years ago

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

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The y intercept is the point at which the graph of an equation crosses the y axis. y (0,3)(0,3) x Notice that the x value is zero. y = 2x + 3

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The x intercept is the point at which the graph of an equation crosses the x axis. y (- 3 / 2,0) x y = 2x + 3

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The x intercept is the point at which the graph of an equation crosses the x axis. y (- 3 / 2,0) x Notice that the y value is zero. y = 2x + 3

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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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y = 2x + 6 y intercept y = 2(0) + 6 y = 6 (0,6) x intercept 0 = 2x + 6 x = -3 (-3,0) Example #1 Find the y and x intercepts. Then graph the line.

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

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Example #1 Find the y and x intercepts. Then graph the line. y = 2x + 6 (0,6) (-3,0) y 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) + 12 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) + 12 y = 12 (0,12) x intercept 0 = 3x + 12 x = -4 (-4,0)

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Example #2 Find the y and x intercepts. Then graph the line. y = 3x + 12 (0,12) (-4,0) y x

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Example #2 Find the y and x intercepts. Then graph the line. y = 3x + 12 (0,12) (-4,0) y 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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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 (0,4) (-8,0) y x

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2) y = -2 x + 8

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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 (0,8) (4,0) y x

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3) y = -3x - 4

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

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4) y = 8x - 2

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

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5) 2x + 3y = 6

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

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6) 5x + 2y = 10

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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 (0,5) (2,0) y x

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7) -3x + 5y = 9

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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 (0, 9 / 5 ) (-3,0) y x

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8) -2x - 3y = 10

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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 (0,- 10 / 3 ) (-5,0) y

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