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.