Find the x - and y-intercept of the line.

-4x + 2y = 24

When y = 0, x will equal the x-intercept. So, plug in 0 for the y-value to find the x-intercept.

-4x + 2y = 24 Plug in 0 for y

-4x + 2 (0) = 24 Multiply

-4x = 24 Divide both sides by - 4

x = - 6

The x-intercept is (-6, 0).

When x = 0, y will be the y-intercept. So, plug in 0 for x and solve for y.

-4x + 2y = 24 Plug in 0 for x

-4 (0) + 2y = 24 Multiply

2y = 24 Divide both sides by 2

y = 12

The y-intercept is (0, 12).