P and Q are the p

Given,

As, PQ = PR + RQ

We have,

⇒ PR : RQ = 2 : 3

i.e. R divides PQ in 2 : 3

Using section formula, i.e.

The coordinates of Point R which divides line PQ in a ration m : n is

Where, (x₁, y₁) and (x₂, y₂) are the coordinates of points P and Q respectively.

We have, P(2, -1), Q(-3, 4) and ratio is 2 : 3

Hence, coordinates of R is (0, 1)