Chapter 9, Problem 5CST

To determine

Tofind:Midpoint of segment with given points.

Answer to Problem 5CST

  $M=\left(-2,7\right)$

Explanation of Solution

Given information:

  $\begin{array}{l}\left(x_1,y_1\right)=\left(-8,8\right)\\ \left(x_2,y_2\right)=\left(4,6\right)\end{array}$

Concept Used:

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

Calculation:

  $\begin{array}{l}M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\\ \Rightarrow M=\left(\frac{-8+4}{2},\frac{8+6}{2}\right)\\ \Rightarrow M=\left(\frac{-4}{2},\frac{14}{2}\right)\\ \Rightarrow M=\left(-2,7\right)\end{array}$