Question

Find the midpoint of AB if 4(-3, 8) andB(-7,-6).

Answer 1

The given points are A(-3,8) and B(-7,6).

The midpoint formula is-

$M=(\frac{x_1+x^{}_2}{2},\frac{y_1+y_2}{2})$

Where,

$\begin{gathered} x_1=-3 \\ x_2=-7 \\ y_1=8 \\ y_2=6 \end{gathered}$

Replacing these coordinates, we have

$\begin{gathered} M=(\frac{-3-7}{2},\frac{8+6}{2}) \\ M=(\frac{-10}{2},\frac{14}{2}) \\ M=(-5,7) \end{gathered}$

Therefore, the midpoint of AB is (-5, 7).