Question

1. The endpoints of line PQ on a real number line are -.5 and .72. What is the coordinate of the midpoint of line PQ?

Answer 1

We are given the endpoints of a line PQ

$-0.5\text{ and }0.72$

We are asked to find the midpoint of line PQ.

Let us first find the distance of line PQ

$\begin{gathered} d=|x_2-x_1| \\ d=|0.72_{}-(-0.5)_{}| \\ d=|0.72_{}+0.5| \\ d=|1.22| \\ d=1.22 \end{gathered}$

Recall that the midpoint is at the halfway of the line PQ so divide the distance by 2

$midpoint=\frac{1.22}{2}=0.61$