Coordinate Distance Calculator

Distance, midpoint & line equation

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About Coordinate Distance Calculator

A coordinate distance calculator for 2D and 3D space. Uses the Euclidean distance formula √((x₂−x₁)²+(y₂−y₁)²+(z₂−z₁)²). Also computes midpoint, slope, line equation (slope-intercept and point-slope), and Manhattan distance. All calculations are client-side. Essential for geometry, physics, and computer graphics.

Coordinate Distance Calculator Features

  • 2D/3D
  • Euclidean
  • Manhattan
  • Midpoint
  • Line equation
The distance between points (x₁,y₁) and (x₂,y₂) is d = √((x₂−x₁)²+(y₂−y₁)²). In 3D: d = √((x₂−x₁)²+(y₂−y₁)²+(z₂−z₁)²). Manhattan distance |x₂−x₁|+|y₂−y₁| measures grid-based travel. The midpoint is ((x₁+x₂)/2, (y₁+y₂)/2).

How to Use

Enter two points:

  • 2D: (x₁,y₁) and (x₂,y₂)
  • 3D: Add z coordinates
  • Results: Distance, midpoint, slope

Distance Formulas

  • Euclidean: √(Σ(xᵢ−yᵢ)²)
  • Manhattan: Σ|xᵢ−yᵢ|
  • Chebyshev: max|xᵢ−yᵢ|

Line Equation

Slope m = (y₂−y₁)/(x₂−x₁). Point-slope: y−y₁ = m(x−x₁). Slope-intercept: y = mx + b.

Step-by-Step Instructions

  1. 1Enter first point coordinates.
  2. 2Enter second point coordinates.
  3. 3Toggle 2D/3D mode.
  4. 4View distance and midpoint.
  5. 5Check line equation.

Coordinate Distance Calculator — Frequently Asked Questions

What's the difference between Euclidean and Manhattan distance?+

Euclidean is 'as the crow flies' (straight line). Manhattan is 'as a taxi drives' (grid-based, only horizontal/vertical moves). Manhattan ≥ Euclidean always.

Can the distance formula work in higher dimensions?+

Yes! The same formula extends to any dimension: d = √(Σ(xᵢ−yᵢ)²). In machine learning, distances in 100+ dimensions are common.

What if the slope is undefined?+

When x₁ = x₂, the line is vertical and slope is undefined. The line equation is simply x = x₁.

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