Put the following equation of a line into slope-intercept form, simplifying all fractions.

4, y, minus, 2, x, equals, minus, 8
4y−2x=
−8

To put the equation into slope-intercept form, we need to isolate the variable y.

Starting with the equation 4y - 2x = -8, let's first move the term with x to the right side:
4y = 2x - 8

Now, to isolate y, we can divide both sides of the equation by 4:
(4y)/4 = (2x - 8)/4

Simplifying further:
y = (2/4)x - 8/4

Simplifying the fractions:
y = (1/2)x - 2