Question

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

2x – 3y = –12



x-intercept 6, y-intercept –4


x-intercept –4, y-intercept 6


x-intercept –6, y-intercept 4


x-intercept 4, y-intercept –6

Answer 1

3rd option

Explanation:

to find the x- intercept let y = 0 in the equation and solve for x

2x - 3(0) = - 12

2x - 0 = - 12

2x = - 12 ( divide both sides by 2 )

x = - 6 ← x- intercept

To find the y- intercept let x = 0 in the equation and solve for y

2(0) - 3y = - 12

0 - 3y = - 12

- 3y = - 12 ( divide both sides by - 3 )

y = 4 ← y- intercept