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 \(-490\) and coordinate of \( S \) is \(-470\).

Step2: Use midpoint formula

The midpoint formula for two points \( x_1 \) and \( x_2 \) is \( \frac{x_1 + x_2}{2} \). Substitute \( x_1 = -490 \) and \( x_2 = -470 \):

$$ \frac{-490 + (-470)}{2} = \frac{-490 - 470}{2} = \frac{-960}{2} $$

Step3: Simplify the expression

$$ \frac{-960}{2} = -480 $$

Answer:

\(-480\)