Midpoint Calculator

Find the midpoint of a line segment effortlessly! Enter the coordinates of the two endpoints, and our calculator will instantly determine the midpoint. Visualize the line segment and midpoint on the interactive graph below.

Enter Endpoint Coordinates

x1:

y1:

x2:

y2:

Visualization

Midpoint:

Understanding the Midpoint Formula

In geometry, the midpoint of a line segment is the point that divides the segment into two equal parts. Given two endpoints $(x_1, y_1)$ and $(x_2, y_2)$ in a Cartesian coordinate system, the midpoint $M$ can be found using the midpoint formula:

$$M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right) $$

This formula calculates the midpoint by averaging the x-coordinates and the y-coordinates of the two endpoints.

How to Use This Calculator

Enter the x and y coordinates for the first endpoint (x1, y1) in the respective input boxes.
Enter the x and y coordinates for the second endpoint (x2, y2) in the designated input boxes.
Click the "Calculate" button to compute the midpoint.
The coordinates of the midpoint will be displayed below the visualization.
Use the "Copy" button to easily copy the midpoint coordinates to your clipboard.
Click "Reset" to clear all inputs and results.

Applications of the Midpoint Formula

The midpoint formula is a fundamental concept in geometry with various applications, including:

Finding the center of a line segment or diameter of a circle.
In coordinate geometry, to solve problems related to lines, triangles, and other geometric figures.
In computer graphics and game development, for positioning objects and calculating center points.
In mapping and navigation, to find the middle point between two locations.