Chapter 14, Problem 8CPE

To determine

Tofind :the midpoint of $AB$ .

Answer to Problem 8CPE

The midpoint of $AB$ is $\left(-6,1\right)$ .

Explanation of Solution

Given information:

The points are $A\left(-8,3\right)\text{ and }B\left(-4,-1\right)$ .

Calculation: to find the midpoint of the points, use the midpoint formula and then substitute and simplify,

$\begin{array}{l}m=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\\ m=\left(\frac{-8-4}{2},\frac{3-1}{2}\right)\text{ [substitute]}\\ m=\left(-6,1\right)\text{ [simplify]}\end{array}$

Thus, the midpoint is $\left(-6,1\right)$ .