We should simplify to y=mx + b first: 3x=4y+12 -4y=-3x+12 (/-4) y=3/4x-3 To solve for the y intercept we set x to 0 and solve: y=3/4(0)-3 y=-3 To solve for the x intercept we do the opposite and set y to 0 and solve: (0)=3/4x-3 (*4) 0=3x-12 -3x=-12 (/-3) x=4