Question

find the location of q, the midpoint of $overline{pr}$. location of q :

Explanation:

Step1: Identify the coordinates of P and R

The coordinate of P is 2 and the coordinate of R is 12.

Step2: Use the mid - point formula

The mid - point formula for two points \(x_1\) and \(x_2\) on a number line is \(Q=\frac{x_1 + x_2}{2}\). Here \(x_1 = 2\) and \(x_2=12\), so \(Q=\frac{2 + 12}{2}\).

Step3: Calculate the value of Q

\(\frac{2+12}{2}=\frac{14}{2}=7\).

Answer:

7