Midpoint Calculator
The midpoint of a line segment is the point that lies exactly halfway between two endpoints. Given coordinates (x₁, y₁) and (x₂, y₂), the midpoint M is calculated by averaging the x-coordinates and the y-coordinates separately: M = ((x₁+x₂)/2, (y₁+y₂)/2). This fundamental concept appears throughout coordinate geometry, computer graphics, and engineering.
Midpoint calculations are essential in navigation, architecture, data visualization, and game development — any time you need to find the center between two known positions. This calculator instantly computes the midpoint and shows the full step-by-step substitution so you can follow the arithmetic clearly.
How it works
M = ((x₁ + x₂) / 2, (y₁ + y₂) / 2). Add both x-coordinates and divide by 2 to get the x-coordinate of the midpoint; do the same with the y-coordinates to get the y-coordinate.
Use cases
- Finding the center point between two GPS coordinates on a map
- Locating the midpoint of a line segment in geometry homework
- Centering graphical elements between two anchor points in design tools
- Splitting a route in half for logistics and trip planning
- Determining the pivot or balance point of a structural beam or truss