Midpoint Formula

An illustration of the formula for finding the midpoint of a line defined by two points.

Formula

Summary

This formula calculates the midpoint of a line defined by two points in the cartesian coordinate system.

Expression Description
The midpoint
The coordinates of the first point
The coordinates of the second point

Usage

To calculate the midpoint of a line defined by two points, average the x-coordinates of the two points together to get the x-coordinate of the midpoint. Then average the y-coordinates of the points together to get the y-coordinate of the midpoint.

Midpoint of Line With Points (3, 1) and (7, 5)

Line defined by points (3,1) and (7,5).

This example demonstrates how to find the midpoint of a line defined by the two points (3,1) and (7,5). The steps are shown below:

  1. Set up the formula and subsitute the coordinates of the points of the line.

  2. Evaluate the addition expressions.

  3. Evaluate the division expressions.

  4. The midpoint of the line is at the point .

Midpoint of Line With Points (2, 5) and (6, 1)

Line defined by points (2,5) and (6,1).

This example demonstrates how to find the midpoint of a line defined by the two points (2,5) and (6,1). The steps are shown below:

  1. Set up the formula and subsitute the coordinates of the points of the line.

  2. Evaluate the addition expressions.

  3. Evaluate the division expressions.

  4. The midpoint of the line is at the point .