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=(1.22)/(2)=0.61`