Perpendicular gradients multiply to give -1. The gradient of the perpendicular line (y=-3/2x+7/2) is -3/2 , so the gradient of PQ is 2/3. Using gradient formula change in y/ change in x :(4-b)/(3-a) = 2/3 Simplifying:4-b=(6-2a)/3 12-3b=6-2a 3b=6+2a In terms of b: b=2+2/3a