Midpoint Formula

Midpoint Formula

Formula

Summary

The midpoint formulas calculates the midpoint of a line given the two end points of the line.

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

Usage Notes

To calculate the midpoint between two points, average the x-coordinates together and the y-coordinates together.

Midpoint of Line Defined by (3, 1) and (7, 5)
midpoint of the line defined by (3, 1) and (7, 5)

To calculate the midpoint of the line defined by and , average the x-positions together to get the x-position. Then averate the y-positions together to get the y-position.

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

  2. Evaluate the arithmetic expressions.

  3. Evaluate division.

  4. The midpoint is

Midpoint of Line Defined by (2, 5) and (6, 1)
midpoint of the line defined by (2, 5) and (6, 1)

To calculate the midpoint of the line defined by and , average the x-positions together to get the x-position of the midpoint. Then averate the y-positions together to get the y-position of the midpoint.

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

  2. Evaluate the arithmetic expressions.

  3. Evaluate division.

  4. The midpoint is