Question

Find the coordinates of the midpoint of the line segment joining P(0, 6) and Q(12, 20).

Answer 1

Let, M(x, y) be the midpoint of line PQ.

P(0, 6) = (x₁, y₁), Q (12, 20) = (x₂, y₂)

By the midpoint formula,

x = `(x_1 + x_2)/2`

= `(0 + 12)/2`

= `12/2`

= 6

y = `(y_1 + y_2)/2`

= `(6 + 20)/2`

= `26/2`

= 13

The coordinates of the midpoint of the line segment joining P(0, 6) and Q(12, 20) are M(6, 13).