Ok, let’s take it step by step. In order to write an equation in slope intercept form, solve for y. 3x+4y=12 First, subtract 3x from both sides. 4y=-3x+12 Now, divide both sides by 4. y=-3/4x+3.
So, 3x+4y=12 written in slope intercept form is y=-3/4x+3.