The equation for the slope + intercept is y=mx+b , mx being the slope and b being the intercept. We are presented with the equation, 4x+3y=12 and we can see that the equation given isn't presented in the slope-intercept form. We first move 4x to the other side by subtracting 4x on both sides, which results in: 3y=-4x+12 . However, the slope-intercept form has a single y, and not a variable/number next to it. In order to get rid of the 3 in 3y, we divide 3 on both sides. We are then left with: y=-4/3x+3 as the complete slope-intercept formula.