Question

In the following exercise, find the midpoint of the line segments whose endpoints are given:

$\left(-2,-6\right)$and$\left(-4,-2\right)$

Short answer

$\left(-3,-4\right)$

Step-by-step solution

Step 1. Given information.

The coordinate of the points are$\left(-2,-6\right)$and$\left(-4,-2\right)$.

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 given points, the midpoint of the line segment, in this case, will be

$$\begin{gathered} \left(\frac{-2+\left(-4\right)}{2},\frac{-6+\left(-2\right)}{2}\right) \\ \left(\frac{-6}{2},\frac{-8}{2}\right) \\ \left(-3,-4\right) \end{gathered}$$