# Midpoint Calculator

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

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If you have two-dimensional points, set the third coordinates equal to $0$ or leave them empty.

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.

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

$M = \left(4, \frac{11}{2}\right) = \left(4, 5.5\right)$A