Chapter 9.6, Problem 28E

To determine

Tofind:Midpoint of given points.

Answer to Problem 28E

  $M=\left(4,2\right)$

Explanation of Solution

Given information:

  $\begin{array}{l}\left(x_1,y_1\right)=\left(8,-3\right)\\ \left(x_2,y_2\right)=\left(-2,7\right)\end{array}$

Concept Used:

Midpoint of two points - $M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

Calculation:

  $\begin{array}{l}M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\\ \Rightarrow M=\left(\frac{8+\left(-2\right)}{2},\frac{-3+7}{2}\right)\\ \Rightarrow M=\left(\frac{6}{2},\frac{4}{2}\right)\\ \Rightarrow M=\left(4,2\right)\end{array}$