Chapter 9.3, Problem 2ST

To determine

To calculate: The midpoint of line segment.

Answer to Problem 2ST

The coordinates of the midpoint of the line segment are $\left(\frac{11}{2},8\right)$ .

Explanation of Solution

Given information: The coordinates of points are $\left(3,5\right)$ and $\left(8,11\right)$ .

Formula used: $M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

Calculation: Since the line segment joining the given points, consider point M as a midpoint.

  $\begin{array}{cc}A& B\\ x_1=3& x_2=8\\ y_1=5& y_2=11\end{array}$

  $\begin{array}{l}M=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\\ M=\left(\frac{3+8}{2},\frac{5+11}{2}\right)\\ M=\left(\frac{11}{2},\frac{16}{2}\right)\\ M=\left(\frac{11}{2},8\right)\end{array}$

Hence, the coordinates of the midpoint of the line segment are $\left(\frac{11}{2},8\right)$ .