Question

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

Explanation:

Step1: Recall mid - point formula

For two points on a number line with coordinates $x_1$ and $x_2$, the mid - point formula is $\frac{x_1 + x_2}{2}$. Here, $x_1=-91$ (coordinate of D) and $x_2 = - 89$ (coordinate of E).

Step2: Substitute values into formula

$\frac{-91+( - 89)}{2}=\frac{-91 - 89}{2}$.

Step3: Simplify the numerator

$-91-89=-180$. So, we have $\frac{-180}{2}$.

Step4: Calculate the result

$\frac{-180}{2}=-90$.

Answer:

$-90$