Question

The line segment joining the points A(3,2) and B(5,1) is divided at the point P in the ratio 1:2 and P lies on the line 3x-18y+k=0.Find the value of k

Answer 1

1/2=-(6-36+k):(15-18+k)

1/2=(k-30)/(k-3)

k-3=2k-60

60-3=2k-k

k=57