Question

Danielle plans to graph the linear equation 5x-2y=10 by plotting the x-intercept and y-intercept.

Answer 1

x-intercept is (2,0)

y-intercept is (0,-5)

Step-by-step explanation:

Danielle plans to graph the linear equation 5x-2y=10 by plotting the x-intercept and y-intercept.

Finding x-intercept

X-intercept: Substitute 0 for y and then solve for x. Write your answer in the form (__, 0)

Putting y=0

$5x-2y=10\\5x-2(0)=10\\5x=10\\x=10/5\\x=2$

So, x-intercept is (2,0)

Finding y-intercept

Y-intercept: Substitute 0 for x and then solve for y. Write your answer in the form (0, __)

Putting x=0

$5x-2y=10\\5(0)-2y=10\\-2y=10\\y=10/-2\\y=-5$

So, y-intercept is (0,-5)

Keywords: Solving Equations

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