Question

Find the co-ordinates of point P if P divides the line segment joining the points A (-1, 7) and B (4, -3) in the ratio 2 : 3.

Answer 1

Let the co-ordinates of point P be (x, y) and A (x₁, y₁) B (x₂, y₂) be the given points.

Here, x₁ = -1, y₁ = 7, x₂ = 4, y₂ = -3, m = 2, n = 3

∴ By section formula,

The co-ordinates of point P are (1, 3).