# Midpoint Calculator

The calculator will find the midpoint for two points, with steps shown.

## Your Input

**Find the midpoint for $$$P = \left(3, 2\right)$$$ and $$$Q = \left(5, 9\right)$$$.**

## Solution

The midpoint for two points $$$P = \left(p_{x}, p_{y}\right)$$$ and $$$Q = \left(q_{x}, q_{y}\right)$$$ is $$$M = \left(\frac{p_{x} + q_{x}}{2}, \frac{p_{y} + q_{y}}{2}\right)$$$.

We have that $$$p_{x} = 3$$$, $$$p_{y} = 2$$$, $$$q_{x} = 5$$$, $$$q_{y} = 9$$$.

Thus, $$$M = \left(\frac{3 + 5}{2}, \frac{2 + 9}{2}\right) = \left(4, \frac{11}{2}\right)$$$.