Question

Find th co-ordinates of the midpoint of the line segment joining P(0, 6) and Q(12, 20).

Answer 1

P(0, 6)          Q(12, 20)

   ↓                      ↓
(x₁, y₁)           (x₂, y₂)
Let co-ordinates of midpoint be (x, y)
By formula for midpoint.,
${\displaystyle x=\frac{x_1+x_2}{2}}$
= ${\displaystyle \frac{0+12}{2}}$
= ${\displaystyle \frac{12}{2} =6}$

 

y = ${\displaystyle \frac{y_1+y_2}{2}}$
y = ${\displaystyle \frac{6+20}{2}}$
= ${\displaystyle \frac{26}{2}}$
= 13
∴ PQ co-ordinates of midpoint of segment PQ are(6, 13)