Find the coordinates of the point which divides the join of A(– 1, 7) and B(4, – 3) in the ratio 2 : 3.

Question

Philoid · Accepted Answer

Let the point P(x,y) divides AB

Then

X = (m₁x₂ + m₂x₁)/ m₁ + m₂

= (2 × 4 + 3 × (– 1))/2 + 3

= (8 – 3) /5

= 5/5 = 1

Y = (m₁y₂ + m₂y₁)/ m₁ + m₂

= (2 × (– 3) + 3 × 7)/ 5

= (– 6 + 21)/5

= 15 / 5 = 3

= (1, 3)