Chapter 3, Problem 35AR

To determine

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

Answer to Problem 35AR

The midpoint of $\overline{AB}$ is $=(2,1)$

Explanation of Solution

Given information:

The given data is as follows

  $A(0,1),B(4,1)$

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 $(x_1,y_1)=(0,1),(x_2,y_2)=(4,1)$

The midpoint of $\overline{AB}$ is

  $\begin{array}{l}=\left(\frac{0+4}{2},\frac{1+1}{2}\right)\\ =(2,1)\end{array}$

Hence, the midpoint of $\overline{AB}$ is $=(2,1)$