Question

what is the coordinate of the midpoint of \\(\overline{rs}\\)?
write your answer as an integer or a decimal, or mixed number in simplest form.

Explanation:

Step1: Identify coordinates of R and S

From the number line, coordinate of \( R \) is \( -5 \) and coordinate of \( S \) is \( 10 \).

Step2: Use midpoint formula

The midpoint formula for two points \( x_1 \) and \( x_2 \) is \( \frac{x_1 + x_2}{2} \). Substituting \( x_1=-5 \) and \( x_2 = 10 \), we get \( \frac{-5 + 10}{2} \).

Step3: Calculate the midpoint

Simplify the numerator: \( -5 + 10 = 5 \). Then divide by 2: \( \frac{5}{2}=2.5 \).

Answer:

\( 2.5 \)