Find the coordinates of the point which divides the join of A(-5, 11) and B(4, -7) in the ratio 2 : 7.

Question

Philoid · Accepted Answer

Let P(x, y) be the point that divides the join of A(-5, 11) and B(4, -7) in the ratio 2 : 7

Formula: If m₁ : m₂ is the ratio in which the join of two points is divided by another point (x, y), then

Here, x₁ = -5, x₂ = 4, y₁ = 11 and y₂ = -7

Substituting,

⇒ x = -3

⇒ y = 8

Therefore, the coordinates of the point which divided the join of A(-5, 11) and B(4, -7) in the ratio 2 : 7 is (-3, 8).