Question

Find the coordinates of the points which divide the line segment joining the points (−4, 0) and (0, 6) in four equal parts.

Answer 1

Let A(−4, 0) and B(0, 6) be the given points.

And, Let P,Q,Rbe the points which divide AB in four equal points..

We know AP: PB =1:3

Therefore, Coordinates of P are

We know that Q is midpoint of AB

Therefore, Coordinates of Q are