Find the ratio in which the point divides the line segment joining the points and B(2, – 5).

Question

Philoid · Accepted Answer

3/4 = (m₁x₂ + m₂x₁)/ m₁ + m₂

3/4 = (m₁ × 2 + m₂ (1/2))/ m₁ + m₂

3/4 = (2m₁ + m₂ /2) / m₁ + m₂

6m₁ + 6m₂ = 16m₁ + 4m₂

6m₁ – 2m₂ = 0

5/12 = (m₁y₂ + m₂y₁)/ m₁ + m₂

5/12 = (m₁ × (– 5) + m₂ (3/2))/ m₁ + m₂

5/12 = (– 5m₁ + 3m₂ /2) / m₁ + m₂

– 120m₁ + 36m₂ = 10(m₁ + m₂)

130m₁ – 26m₂ = 0

Solving for m₁ and m₂ we get

m₁ = 1

m₂ = 5

1:5