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 = ${\displaystyle \frac{x_1+x_2}{2}}$

= ${\displaystyle \frac{0+12}{2}}$

= ${\displaystyle \frac{12}{2}}$

= 6

y = ${\displaystyle \frac{y_1+y_2}{2}}$

= ${\displaystyle \frac{6+20}{2}}$

= ${\displaystyle \frac{26}{2}}$

= 13

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