Chapter 9.5, Problem 27E

To determine

Tofind:Midpoint of segment with given points.

Answer to Problem 27E

  $M=\left(5,3\right)$

Explanation of Solution

Given information:

  $\begin{array}{l}\left(x_1,y_1\right)=\left(8,-6\right)\\ \left(x_2,y_2\right)=\left(2,12\right)\end{array}$

Concept Used:

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

Calculation:

  $\begin{array}{l}M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\\ \Rightarrow M=\left(\frac{8+2}{2},\frac{-6+12}{2}\right)\\ \Rightarrow M=\left(\frac{10}{2},\frac{6}{2}\right)\\ \Rightarrow M=\left(5,3\right)\end{array}$