Question

Find the coordinates of the midpoints of the line segment joining 

P(-11,-8) and Q(8,-2)

Answer 1

The given points are P(-11,-8) and Q(8,-2).

${\displaystyle x=\frac{x_1+x_2}{2},y=\frac{y_1+y_2}{2}}$

${\displaystyle \Rightarrow x=\frac{-11+8}{2},y=\frac{-8-2}{2}}$

${\displaystyle \Rightarrow x=-\frac{3}{2},y=-\frac{10}{2}}$

${\displaystyle \Rightarrow x=-\frac{3}{2},y=-5}$

Therefore,  ${\displaystyle (-\frac{3}{2},-5)}$ are the coordinates of midpoint of PQ .