Question

Points P, Q, and R in that order are dividing line segment joining A (1,6) and B(5, -2) in four equal parts. Find the coordinates of P, Q and R. 

Answer 1

The given points are A (1,6) and B(5, -2).

Then, P (x, y) is a point that devices the line AB in the ratio 1: 3 

By the section formula:

Let R (x, y) be a point that divides AB in the ratio 3 :1 

Then, by the section formula:

Hence, the coordinates of point P, Q and R are (2, 4), (3, 2) and (4, 0) respectively.