Question

In the following exercise, find the midpoint of the line segments whose endpoints are given:$\left(3,7\right)$and$\left(5,1\right)$.

Short answer

$\left(4,4\right)$

Step-by-step solution

Step 1. Given information.

The endpoints of the line segment are$\left(3,7\right)$and$\left(5,1\right)$.

Step 2. Finding the midpoint.

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

In this case, substituting the values, the midpoint becomes

$\left(\frac{3+5}{2},\frac{7+1}{2}\right)=\left(4,4\right)$