A graph showing how to find the midpoint of a line segment on the Cartesian plane
First point coordinates
x₁
y₁
Second point coordinates
x₂
y₂
Get Widget Get link Report a Bug Save result Print Today calculations: 0

Table of contents:

  1. Midpoint Calculator
  2. Midpoint Formula
  3. Calculating midpoint example

In geometry, the midpoint is the middle point of a line segment.

Use this Midpoint Calculator to calculate the midpoint between two points. Enter the coordinates of two points and get the coordinates of the midpoints.

To find endpoint coordinates use Endpoint Calculator.

Midpoint Formula

Let there be two points: point A with coordinates (x1, y1) and point B with coordinates (x2, y2). Then the coordinates of the midpoint can be found by the formula:

x_{\tiny M} = \dfrac{x_1 + x_2}{2}

y_{\tiny M} = \dfrac{y_1 + y_2}{2}

Or shortly:

Midpoint(x_{\tiny M},y_{\tiny M}) = (\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2})

Calculating midpoint example

What is the midpoint of a line segment and their coordinates are (-3, -2) and (5, 3).

To answer what the midpoint of line segment is, simply replace the values in the formula to find the coordinates of the midpoint.

x_{\tiny M} = \dfrac{-3 + 5}{2} = \dfrac{2}{2} = 1

y_{\tiny M} = \dfrac{-2 + 3}{2} = \dfrac{1}{2} = 0.5

So the midpoint of the line segment defined by coordinates (-3, -2) and (5, 3) is (xM, yM) = (1, 0.5).

Page views: 888