Chapter 4.7, Problem 51SR

To determine

The midpoint of the segment.

Answer to Problem 51SR

  $M=\left(1,9.5\right)$

Explanation of Solution

Given:

The given end points are:

  $\begin{array}{l}A=\left(2,14\right)\\ C=\left(0,5\right)\end{array}$

Calculation:

The midpoint of the segment will be:

  $\begin{array}{l}M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\\ M=\left(\frac{2+0}{2},\frac{14+5}{2}\right)\\ M=\left(1,9.5\right)\end{array}$