Question

points x and y are plotted on a number line. what is the location of k, the midpoint of \\(\overline{xy}\\) for x at 13 and y at -18?

Explanation:

Step1: Recall midpoint formula

The midpoint \( M \) of a segment with endpoints \( x_1 \) and \( x_2 \) on a number line is given by \( M=\frac{x_1 + x_2}{2} \). Here, \( x_1 = 13 \) and \( x_2=- 18 \).

Step2: Substitute values into formula

Substitute \( x_1 = 13 \) and \( x_2=-18 \) into the formula: \( M=\frac{13+(-18)}{2}=\frac{13 - 18}{2}=\frac{-5}{2}=-2.5 \)

Answer:

\(-2.5\)