How do you find midpoint

July 4, 2026Mathematics

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Answer

(5, 3)

Step-by-step solution

4 steps

To find the midpoint of a line segment, you need the coordinates of its two endpoints. The midpoint is the point exactly halfway between these two endpoints.

Identify the coordinates of the two endpoints.
Let the two endpoints be $(x_1, y_1)$ and $(x_2, y_2)$ .
Apply the midpoint formula.
The midpoint $M$ is found by averaging the x-coordinates and averaging the y-coordinates.
$M = \left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)$
Example: Find the midpoint of the line segment with endpoints $(2, 5)$ and $(8, 1)$ .
Identify the coordinates.
Let $(x_1, y_1) = (2, 5)$ and $(x_2, y_2) = (8, 1)$ .
Apply the midpoint formula.
$M = \left(\frac{2 + 8}{2}, \frac{5 + 1}{2}\right)$ $M = \left(\frac{10}{2}, \frac{6}{2}\right)$ $M = (5, 3)$
The midpoint is $(5, 3)$ .

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