Question

find the location of q, the midpoint of \\(\overline{pr}\\). \\(\longleftarrow\

$$\begin{array}{cccccccccccccccc}-12&-11&-10&-9&-8&-7&-6&-5&-4&-3&-2&-1&0&1&2&3&4&5&6&7&8&9&10&11&12\\\\&&&&&&&&&&&\\bullet^p&&&&&&&&&&&\\bullet^r\\end{array}$$

\longrightarrow\\) location of q :

Explanation:

Step1: Identify coordinates of P and R

From the number line, \( P \) is at \( -1 \) and \( R \) is at \( 9 \).

Step2: Apply midpoint formula

The midpoint formula is \( \text{Midpoint} = \frac{x_1 + x_2}{2} \), where \( x_1 = -1 \) and \( x_2 = 9 \).
Substitute values: \( \frac{-1 + 9}{2} = \frac{8}{2} = 4 \).

Answer:

4