# Midpoint Formula

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 |

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.

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:

Set up the formula.

Subsitute the coordinates of the points of the line.

Evaluate the addition expressions.

Evaluate the division expressions.

The midpoint of the line is at the point .

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:

Set up the formula.

Subsitute the coordinates of the points of the line.

Evaluate the addition expressions.

Evaluate the division expressions.

The midpoint of the line is at the point .