Chapter 9, Problem 2CR

To determine

Points $P(-4,3)$ and $Q(-6,-1)$ are given. To find the midpoint of $\overline{PQ}$ .

  $\begin{array}{l}a.(5,1)\\ b.(-5,1)\\ c.(-1,1)\\ d.(-5,-1)\end{array}$

Answer to Problem 2CR

Midpoint of PQ is b.

Explanation of Solution

Given:

Points $P(-4,3)$ and $Q(-6,-1)$ To find the midpoint of $\overline{PQ}$ .

Calculation:

The mid point of a line segment is the halfway value between the two x co-ordinates and the two y co-ordinates.

Therefore,

The x co-ordinate of the midpoint of PQ is: $\frac{(-4+(-6))}{2}=\frac{-10}{2}=-5$

The y co-ordinate of the midpoint of PQ is: $\frac{(3+(-1))}{2}=\frac{2}{2}=1$

Thus, the midpoint of PQ is $(-5,1)$

Hence, the answer is b.

Conclusion:

Answer b is the solution.