Question

What are the x- and y-intercepts of the line?. 2x – 3y = 12. A. x-intercept –6, y-intercept 4. B. x-intercept –4, y-intercept 6. C. x-intercept 4, y-intercept –6. D. x-intercept 6, y-intercept –4.

Answer 1

D. x-intercept 6, y-intercept –4.

Answer 2

We are given the equation of the line:

2x – 3y = 12

The intercepts of the line represents the point when one of the variable is set to zero or it is the point where the line intersects to the x and y axis.

To find for the x-intercept, we set y to 0:

2x – 3(0) = 12
x = 6

To find for the y-intercept, we set x to 0:
2(0) – 3y = 12
y = - 4

Therefore, the correct answer is option D.