Chapter 11.1, Problem 29E

To determine

To calculate: to find themidpoint of the segment with the endpoints $\left(-3,4\right),\left(4,-2\right)$ .

Answer to Problem 29E

The midpoint of the segmentwith the endpoints $\left(-3,4\right),\left(4,-2\right)$ is $\left(\frac{1}{2},1\right)$ .

Explanation of Solution

Given information: consider, the points provided in the question,

  $\left(-3,4\right),\left(4,-2\right)$ .

Formula used :midpoint of the segment with the endpoints = $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

Calculation: to find the midpoint first we put the value in the formula then simply it.

  $\begin{array}{l}\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)=\left(\frac{-3+4}{2},\frac{4-2}{2}\right)\\ \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)=\left(\frac{1}{2},1\right)\end{array}$

Hence,

Thus, The midpoint of the segment with the endpoints $\left(-3,4\right),\left(4,-2\right)$ is $\left(\frac{1}{2},1\right)$ .