Midpoint Calculator

Find the midpoint between two points in 2D or 3D space

Point A (x₁, y₁) and Point B (x₂, y₂)
Point A (First Point)
Point B (Second Point)
Midpoint Results
MIDPOINT COORDINATES
(5, 4)
Distance Between Points
7.21
Slope
0.33
Line Equation
y = 0.33x + 2.33
📝 Step-by-Step Solution
Midpoint Formula: M = ((x₁ + x₂)/2, (y₁ + y₂)/2)
M = ((2 + 8)/2, (3 + 5)/2)
M = (10/2, 8/2)
M = (5, 4)

Midpoint Formula

2D: M = ((x₁ + x₂)/2, (y₁ + y₂)/2)

3D: M = ((x₁ + x₂)/2, (y₁ + y₂)/2, (z₁ + z₂)/2)

The midpoint is the average of the coordinates of the two endpoints.

Common Uses

  • 📐 Geometry problems and proofs
  • 📍 Finding center of line segments
  • 🎮 Game development (collision detection)
  • 🗺️ Navigation and mapping
  • 📊 Data interpolation

Properties

  • The midpoint divides the segment into two equal parts
  • It's the centroid of the endpoints
  • Equal distance from both endpoints
  • Lies exactly halfway along the line segment

Related Calculations

  • Distance = √[(x₂-x₁)² + (y₂-y₁)²]
  • Slope = (y₂ - y₁)/(x₂ - x₁)
  • Endpoint given midpoint: (2M - known point)
  • Line equation: y - y₁ = m(x - x₁)