Question

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

HINT:

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

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

Answer 1

see the explanation

Explanation:

we have

`5x-2y=10`

Find the x-intercept

Remember that the x-intercept is the value of x when the value of y is equal to zero

For y=0

`5x-2(0)=10\\5x=10\\x=2`

the x-intercept is the point (2,0)

Find the y-intercept

Remember that the y-intercept is the value of y when the value of x is equal to zero

For x=0

`5(0)-2y=10\\-2y=10\\y=-5`

the y-intercept is the point (0,-5)

using a graphing tool

Plot the intercepts and connect them to graph the line

see the attached figure