Coordinate Geometry

Midpoint Formula

Formula

M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

What is Midpoint Formula?

The midpoint of a line segment is the point exactly halfway between the two endpoints. It is found by averaging the x-coordinates and averaging the y-coordinates.

Variables

M
M — Midpoint
(
(x₁, y₁) — First endpoint
(
(x₂, y₂) — Second endpoint

Worked Examples

Example 1

Find the midpoint of the segment from (2, 4) to (8, 10).

Solution:

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

Frequently Asked Questions

Related Formulas

Slope of a Line

m = (y₂ − y₁) / (x₂ − x₁)

Distance Between Two Points

d = √((x₂ − x₁)² + (y₂ − y₁)²)

Equation of a Line (Slope-Intercept Form)

y = mx + c

Ready to Become a Math Champion?

Download the app and compete with players worldwide. Track your progress, climb the leaderboard, and master mathematics.

Download for Android Play in Browser