Question

what is the coordinate of the midpoint of \\(\overline{fg}\\)?
f is at -83, g is at -82 on the number line.
write your answer as an integer or a decimal, or mixed number in simplest form.

Explanation:

Step1: Recall midpoint formula

The midpoint \( M \) of a segment with endpoints \( x_1 \) and \( x_2 \) is given by \( M=\frac{x_1 + x_2}{2} \). Here, \( x_1=-83 \) (coordinate of \( F \)) and \( x_2 = - 82 \) (coordinate of \( G \)).

Step2: Substitute values into formula

Substitute \( x_1=-83 \) and \( x_2=-82 \) into the formula: \( M=\frac{-83 + (-82)}{2}=\frac{-83-82}{2}=\frac{-165}{2}=-82.5 \)

Answer:

\( -82.5 \)