Question

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

Explanation:

Step1: Identify coordinates of D and E

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

Step2: Use midpoint formula

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

Step3: Calculate the midpoint

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

Answer:

\(-2.5\)