can someone please explain "converting to slope-intercept form" to me please? i've watched countless videos on it and i don't understand how to do these problems. all i really need is an explained step-by-step on how to do these types of problems. all of them are usually converting standard form to slope-intercept form.

suppose you have an equation in standard form

e.g.

4x - 5y - 8 = 0

step 1. "move" all terms except the y term to the other side
-5y = -4x + 8
step 2. divide each term by the coefficient of the y term
-5y/-5 = -4x/-5 + 8/-5
y = (4/5)x - 8/5

all it takes is 2 steps