### 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 average the coordinates of the endpoints.
That means I need to add the x-coordinates of $P$ and $Q$ and divide by $2$, and do the same for the y-coordinates.
The x-coordinate of the midpoint is $(5 + (-3))/2 = 2/2 = 1$.
The y-coordinate of the midpoint is $(3 + 6)/2 = 9/2$.
So the midpoint of $\overline{PQ}$ is $(1,9/2)$.