Center point between two points

This page describes how to calculate the center of a line between two points in the coordinate system. The calculation is shown in the following example.

Find the midpoint of two points\(A (2, 3)\) and \(B (4, 5)\).

Let \(C\) be the midpoint of the line segment. To find the coordinates of \(C\):

1. we calculate the average of the x coordinates of \(A\) and \(B\).
2. we calculate the average of the y coordinates of \(A\) and \(B\).

The \(x\) coordinate is .

The \(y\) coordinate is .

So \(C\) has coordinates \((3, 4)\)

Now we can derive a general formula for the midpoint.
If the two points are and then the midpoint \(C\) must be equal to