Question

Find the x- and y-intercept of the line. -4x +2y = 24

Answer 1

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).