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).