Question

What are the x- and y-intercepts of the line? 2x – 3y = –12
Show work

Answer 1

x = -6 y = 4

(-6,0) (0,4)

Explanation:

2x - 3y = -12

cancel out the y

2x - 3(0) = -12

2x = -12

divide both sides by 2

x = -6

2x - 3y = -12

cancel out the x

2(0) - 3y = -12

-3y = -12

divide both sides by -3

y = 4

Hope this Helps!!!

Answer 2

You can use the intercepts to graph the line. The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.

Explanation: