Chapter 3, Problem 37AR

To determine

To find: the coordinates of the midpoint of $\overline{AB}.$

Answer to Problem 37AR

The midpoint of $\overline{AB}$ is $=(0,3)$

Explanation of Solution

Given information:

The given data is as follows

  $A(0,1),B(0,5)$

Formula used:

The midpoint of line joining of $(x_1,y_1),(x_2,y_2)$ is $=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

Calculation:

Let $(x_1,y_1)=(0,1),(x_2,y_2)=(0,5)$

The midpoint of $\overline{AB}$ is

  $\begin{array}{l}=\left(\frac{0+0}{2},\frac{1+5}{2}\right)\\ =(0,3)\end{array}$

Hence, the midpoint of $\overline{AB}$ is $=(0,3)$