y = x - 8
Slope intercept form looks like this: y = mx + b where m is the slope and b is the y intercept. An example of a line in slope intercept form is y = 5x + 3.
The important thing to realize is that y is alone on one side. It doesn’t have a coefficient (number in front of variable) and is positive. X and the constant (in the example above the constant is 3) are on the other side of the equation.
To put 4y - 4x = -32 into slope intercept form, first add 4x to both sides
4y = 4x - 32
Divide each side by 4 (so y is alone)
y = x - 8