Midpoint Calculator

Calculate midpoints step by step

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

$$$($$$ $$$)$$$
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$$$($$$ $$$)$$$
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Your Input

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

Solution

The midpoint of two points $$$P$$$ and $$$Q$$$ is a point $$$M$$$ whose coordinates is the half-sum of the corresponding coordinates of the two points.

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

Answer

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