Question

What is the x-intercept of the line given by the equation 2x +3y = 12 ?
A.The x-intercept is 0.

B.The x-intercept is 6.

C.The x-intercept is 4.

D.The x-intercept is 12.

Answer 1

If you set your y = 0 and solve for x, you will find the x-intercept.

2x + 3(0) = 12

2x = 12

So what is x?

Answer 2

Any time you want to find an intercept, say your y-intercept, you set the other variable = 0 and solve for the variable you want the intercept of.

In this case we set y = 0 to get the x-intercept.

2x + 3y = 12

The (y) here is next to the 3 so we set it = 0

2x + 3(0) = 12

This becomes, 2x = 12

Solving for x, what do we have to do to get x by itself? Do you know?