Skill: Determine the midpoint of a line segment

The midpoint is the point exactly halfway between the two endpoints of a line segment. To find it, average the $x$-coordinates and average the $y$-coordinates separately:

$$\text{Midpoint}=\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$$

Example

Find the midpoint of the segment with endpoints $A(-3,4)$ and $B(5,-2)$.

1. Average the $x$-coordinates.

$$\frac{-3+5}{2}=\frac{2}{2}=1$$

2. Average the $y$-coordinates.

$$\frac{4+(-2)}{2}=\frac{2}{2}=1$$

3. Combine the results in order.

$$\boxed{(1,1)}$$

So, the midpoint of $\overline{AB}$ is $(1,1)$. Remember to average corresponding coordinates: $x$ with $x$ and $y$ with $y.