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

Question

Philoid · Accepted Answer

Let the point P(x,y) divides AB

Then

X = (m₁x₂ + m₂x₁)/ m₁ + m₂

= (7 × 4 + 2 × (– 5))/7 + 2

= (28 – 10) /9

= 18/9 = 2

Y = (m₁y₂ + m₂y₁)/ m₁ + m₂

= (7 × (– 7) + 2 × 11)/ 9

= (– 49 + 22)/9

= – 27 / 9 = – 3

= (2, – 3)