LifeTally
Distance and midpoint between two points
How far apart are your two points, and where is their midpoint?
Enter four Cartesian coordinates to find the straight-line distance and both midpoint coordinates.
Your points
Use perpendicular Cartesian axes with the same unit scale on both axes. Keep all four coordinates in one unit basis. Enter fractions as decimals, not a/b.
How the estimate works
Distance is √((x₁ − x₀)² + (y₁ − y₀)²). The midpoint is ((x₀ + x₁)/2, (y₀ + y₁)/2). Coincident points are valid: their distance is zero and their midpoint is that same point. Each midpoint coordinate needs only its two matching inputs; distance needs all four.
d = √((x₁ − x₀)² + (y₁ − y₀)²)
M = ((x₀ + x₁) ÷ 2, (y₀ + y₁) ÷ 2)Only straight-line geometry in a two-dimensional Cartesian plane. No latitude/longitude, geographic or road distance, travel time, three-dimensional distance, curve length, unit conversion, graph, measurement validation, uncertainty estimate or physical or safety guarantee.
OpenStax: Cartesian coordinates and distance ↗OpenStax: distance and midpoint formulas ↗
Check the filled example
Our chosen example: A = (−2, 3), B = (4, −5). The coordinate differences are 6 and −8, so d = √100 = 10. The midpoint is (1, −1). Swapping the points keeps these results. These are mathematical example inputs, not standard values or a forecast.
Accepted input values
- Point A: x₀
- -2
- Point A: y₀
- 3
- Point B: x₁
- 4
- Point B: y₁
- -5
Plan the next step
Use the standard calculator for separate arithmetic. Check your coordinate system and unit scale before interpreting a distance.
Open the standard calculator →