Question

in the figure below, q lies between p and r. find the location of q so that pq is 1/2 of pr.

Explanation:

Step1: Calculate the length of PR

$PR=(- 5)-(-31)=-5 + 31=26$

Step2: Calculate the length of PQ

Since $PQ=\frac{1}{2}PR$, then $PQ=\frac{1}{2}\times26 = 13$

Step3: Find the location of Q

Let the location of Q be $x$. We know that $PQ=x - (-31)=x + 31$. Since $PQ = 13$, then $x+31 = 13$, so $x=13 - 31=-18$

Answer:

$-18$