Midpoint Calculator
Find the midpoint between two points in 2D or 3D. Also calculates distance, slope, equation of line, perpendicular bisector, and parametric point at any t value.
Midpoint X
—
Midpoint Y —
Distance Between Points —
Slope —
Extended More scenarios, charts & detailed breakdown ▾
Midpoint (x, y)
—
Distance —
Slope —
Professional Full parameters & maximum detail ▾
Core Geometry
Midpoint (x, y) —
Distance —
Slope —
Line Equations
Equation of Line —
Perpendicular Bisector Eq. —
Advanced
Triangle Area (with origin) —
Parametric Point at t —
How to Use This Calculator
Enter the coordinates of two points (x₁, y₁) and (x₂, y₂). The calculator instantly shows the midpoint, distance, and slope. Use the 3D Midpoint tab for three-dimensional coordinates. Use Divide Segment to find the point that splits a segment in any ratio m:n. The Professional tab adds line equation, perpendicular bisector, triangle area, and parametric point.
Formula
Midpoint: M = ((x₁+x₂)/2, (y₁+y₂)/2) • Distance: d = √((x₂−x₁)² + (y₂−y₁)²) • Slope: m = (y₂−y₁)/(x₂−x₁)
Example
Points (1,2) and (7,8) → Midpoint = (4, 5) → Distance = 8.485 → Slope = 1
Frequently Asked Questions
- The midpoint M between points (x₁, y₁) and (x₂, y₂) is M = ((x₁+x₂)/2, (y₁+y₂)/2). Each coordinate of the midpoint is the arithmetic mean of the corresponding coordinates.
- For points (x₁,y₁,z₁) and (x₂,y₂,z₂), the midpoint is ((x₁+x₂)/2, (y₁+y₂)/2, (z₁+z₂)/2). The same averaging principle applies to all three dimensions.
- The division point is ((m·x₂ + n·x₁)/(m+n), (m·y₂ + n·y₁)/(m+n)). This is called the section formula. When m=n=1 it gives the midpoint.
- A perpendicular bisector passes through the midpoint of a segment and is perpendicular to it. Its slope is the negative reciprocal of the segment's slope.
- A parametric point at t represents a fraction of the way along the segment from point 1 to point 2. t=0 is point 1, t=1 is point 2, t=0.25 is 25% of the way from point 1 to point 2.