### Instruction: Suppose $P$ is the point $(5,3)$ and $Q$ is the point $(-3,6)$. What is the midpoint of $\overline{PQ}$?### Response: To find the midpoint of a line segment, I need to find the average of the $x$-coordinates and the average of the $y$-coordinates of the endpoints.
The average of the $x$-coordinates is $\frac{5 + (-3)}{2} = 1$.
The average of the $y$-coordinates is $\frac{3 + 6}{2} = 4.5$.
Therefore, the midpoint of $\overline{PQ}$ is $(1,4.5)$.