Question

What are the x- and y-intercepts of the line?

2x – 3y = –12

A.
x-intercept 4, y-intercept –6

B.
x-intercept –6, y-intercept 4

C.
x-intercept –4, y-intercept 6

D.
x-intercept 6, y-intercept –4

Answer 1

Well first to find the x-intercept, we can replace the 3 with 0, which leaves 2x = -12

No we can divide 2 on both sides and we get -6, so the x-intercept is -6

Answer 2

First put the equation in point-slope form.

Answer 3

Yeah you can do that too.

Answer 4

Now we do the same with y:

0x - 3y = -12

-3y = -12

Now notice that we have -3 instead of 3. This is because 3y was being subtracted from 2x. If it were being added, we would have 3y.

Now divide -3 on both sides:

-3y/-3 = -12/-3

y = 4

So the x intercept is -6 and the y-intercept is 4. The answer is B.

Answer 5

Thnx