Midpoint of a line segment calculator

The midpoint of a line segment is the point exactly halfway between its two endpoints. Its coordinates are the averages of the endpoints’ coordinates: add the two x values and divide by two, and do the same with the y values.

How it works

For points A(x₁, y₁) and B(x₂, y₂), the midpoint is

$$S=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$$

For points A(2, 1) and B(6, −5), we work out the average of the x coordinates and then of the y coordinates:

$$\frac{2+6}{2}=\frac{8}{2}=4,\frac{1+(-5)}{2}=\frac{-4}{2}=-2$$

So the midpoint is S(4, −2). A quick check: from A to S we moved 2 to the right and 3 down, and from S to B we moved 2 to the right and 3 down again. To find how far apart the points are, use the calculator for the distance between two points.