Answer is y = 1/2x -2
Step by step
y intercept form is y = mx + b
To change to this form we want to first isolate y
4y - 2x = -8
Add 2x to both sides
4y -2x +2x = 2x -8
Simplify
4y = 2x -8
Now we need y to stand alone without a coefficient. Divide both sides by 4.
4/4y = 2/4x - 8/4
Simplify
y = 1/2x -2