If (2, p) is the midpoint of the line segment joining the points A(6, – 5) and B(– 2, 11), find the value of p.

Question

Philoid · Accepted Answer

X = (m₁x₂ + m₂x₁)/ m₁ + m₂

= (1 × (– 2) + 1x 6)/1 + 1

= (– 2 + 6) /2

= 4/2 = 2

Y = (m₁y₂ + m₂y₁)/ m₁ + m₂

= (1x 11 + 1x (– 5))/2

= (11 – 5)/2

= 6 / 2 = 3

p = 3