Chapter 13, Problem 15CR

To determine

To find the coordinate of midpoint of the segment

Answer to Problem 15CR

  $\left(\text{ 4,}\frac{-3}{2}\right)$

Explanation of Solution

Given,

  $\text{P:(7,-2)}$ and $\text{Q(1,-1)}$

If ${\text{P:(x}}_{\text{1}}{\text{,y}}_{\text{1}}\text{)}$ and ${\text{Q(x}}_2{\text{,y}}_2\text{)}$ , then

Coordinate of the midpoint of segment $\text{PQ}$ ,

  $\text{M : }\left(\frac{{\text{x}}_{\text{1}}+{\text{x}}_2}{2},\frac{{\text{y}}_{\text{1}}+{\text{y}}_2}{2}\right)$

Here, $\text{P:(7,-2)}$ and $\text{Q(1,-1)}$ , then

Coordinate of the midpoint of segment $\text{PQ}$ ,

  $\begin{array}{l}\text{M : }\left(\frac{7+1}{2},\frac{-2-1}{2}\right)\\ \text{ :}\left(\text{ 4,}\frac{-3}{2}\right)\end{array}$