How do i find the Y-intercept of 4x plus 8y equals 24?

First, solve for y:

4x + 8y = 24
∴ x + 2y = 6
∴2y = 6 - x
∴ y = 3 - x/2

Let y = 0:

0 = 3 - x/2
∴ x / 2 = 3
∴ x = 6

So the y-intercept occurs at the point (6, 0)