Chapter 13.5, Problem 7CE

To determine

To find: the coordinate of the midpoint of the segment

Answer to Problem 7CE

The coordinate of the midpoint is $\left(\frac{2t+4}{2},-1\right)$

Explanation of Solution

Given information: The points are $\left(t,2\right)\&\left(t+4,-4\right)$

Calculation:

The coordinate of the midpoint

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