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Published byWilliam Henderson Modified over 4 years ago

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Today’s 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 are where the line crosses the axis.**

Y-Intercept =(0,6) Y X-Intercept =(2,0) X

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**Finding the intercepts**

3x + y = 6 To find the x-intercept, let y = 0 3x + (0) = 6 3x = 6 x = 2 (2,0)

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**Finding the intercepts**

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

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

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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 = (10,0)

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**Finding the intercepts**

x + 5y = 10 To find the y-intercept, let x = 0 0 + 5y = 10 5y = 10 y = 2 (0,2)

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

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

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

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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 - 4 0 = 4x - 4 0 + 4 = 4x 4 = 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 Y x-intercept = (1,0) X y-intercept = (0,-4)

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SOLUTION STEP 1 Use intercepts to graph an equation EXAMPLE 2 Graph the equation x + 2y = 4. x + 2y = 4 x = x- intercept 4 Find the intercepts. x + 2(0)

SOLUTION STEP 1 Use intercepts to graph an equation EXAMPLE 2 Graph the equation x + 2y = 4. x + 2y = 4 x = x- intercept 4 Find the intercepts. x + 2(0)

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