Chapter 12.6, Problem 35E

To determine

To find: The coordinates of the midpoint of the line segment.

Answer to Problem 35E

The coordinate of the midpoint is $\left(1,1\right)$ .

Explanation of Solution

Given information:

The points are $J\left(-2,3\right)$ and $K\left(4,-1\right)$ .

The formula for the midpoint can be written as $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$ .

Substitute -2 for $x_1$ , 4 for $x_2$ , 3 for $y_1$ , and -1 for $y_2$ in the formula $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$ to find the midpoint.

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

Therefore, the coordinate of the midpoint is $\left(1,1\right)$ .