Midpoint Formula

M=(x1+x22,y1+y22)M = \left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)

Description

Finds the midpoint between two points in a coordinate plane.

Variables

Symbol Meaning
M Midpoint coordinates
(x₁, y₁) First point
(x₂, y₂) Second point

Example

Problem

Find midpoint between (2,4) and (8,10)

Solution

M = ((2+8)/2, (4+10)/2) = (5,7)

Real-World Applications

  • Computer graphics
  • Navigation
  • Geometry