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.
Substitute 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.
Substitute 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 .