Chapter 9.5, Problem 29E

To determine

Tofind:Midpoint of segment with given points.

Answer to Problem 29E

  $M=\left(7.5,2\right)$

Explanation of Solution

Given information:

  $\begin{array}{l}\left(x_1,y_1\right)=\left(6,-1\right)\\ \left(x_2,y_2\right)=\left(9,5\right)\end{array}$

Concept Used:

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

Calculation:

  $\begin{array}{l}M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\\ \Rightarrow M=\left(\frac{6+9}{2},\frac{-1+5}{2}\right)\\ \Rightarrow M=\left(\frac{15}{2},\frac{4}{2}\right)\\ \Rightarrow M=\left(7.5,2\right)\end{array}$