Question

In the following exercise, find the midpoint of the line segments whose endpoints are given:$\left(-8,-10\right)$and$\left(9,5\right)$.

Short answer

$\left(0.5,-2.5\right)$

Step-by-step solution

Step 1. Given information.

The coordinate of the endpoints of the line segment are$\left(-8,-10\right)$and$\left(9,5\right)$.

Step 2. Finding the midpoint.

The midpoint of the line segment whose endpoints are $\left(x_1,y_1\right)$and $\left(x_2,y_2\right)$can be expressed as $\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$.

Substituting the values, the coordinate of the midpoint of the line segment, in this case, will be

$\left(\frac{-8+9}{2},\frac{-10+5}{2}\right)=\left(0.5,-2.5\right)$