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Published byWilliam Henderson Modified over 2 years ago

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Todays Objective To be able to find the x and y intercepts of an equation and use them to draw a quick graph.

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The Intercepts Y-Intercept =(0,6) X-Intercept =(2,0) The intercepts are where the line crosses the axis.

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Finding the intercepts 3x + y = 6 To find the x-intercept, let y = 0 3x + (0) = 6 3x = 6

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Finding the intercepts 3x + y = 6 To find the y-intercept, let x = 0 3(0) + y = 6 y = 6 (0,6)

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

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Compare the 2 graphs

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Finding the intercepts x + 5y = 10 To find the x-intercept, let y = 0 x + 5(0) = 10 x = 10 (10,0)

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Finding the intercepts x + 5y = 10 To find the y-intercept, let x = y = 10 5y = 10

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The graph of x + 5y = 10 x-intercept = (10,0) y-intercept = (0,2)

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Find the intercepts and graph 3x + 4y = 12

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

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

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

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Find the intercepts and graph y = 4x - 4 You try this one.

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Finding the x-intercept y = 4x = 4x = 4x = 4x 1 = x (1,0)

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Finding the y-intercept y = 4x - 4 y = 4(0) - 4 y = -4 (0,4)

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The graph of y = 4x - 4 x-intercept = (1,0) y-intercept = (0,- 4)

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