Chapter 3, Problem 40AR

To determine

The coordinates of midpoint of $\overline{AB}$

Answer to Problem 40AR

The mid-point of the points $A(4,-1)$ and $B(-2,-1)$ is (1,-1)

Explanation of Solution

Given information:

  $A(4,-1),B(-2,-1)$

The mid-point of two points $A$ and $B$ , whose coordinate is given by $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ respectively, is given by $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

Consider the points $A(4,-1)$ and $B(-2,-1)$

The mid-point $(M)$ of these points is given by:

  $\left(\frac{4-2}{2},\frac{-1-1}{2}\right)=(1,-1)$

Hence, the mid-point of the points $A(4,-1)$ and $B(-2,-1)$ is (1,-1)