Instantly find the distance between any two points on a coordinate plane
Coordinates
Point 1 (x₁, y₁)
Point 2 (x₂, y₂)
Result
Formulas
The distance between two points calculator uses the Euclidean distance formula — d = √((x₂−x₁)² + (y₂−y₁)²) — to find the straight-line distance between any two coordinate points in an instant. Enter your (x₁, y₁) and (x₂, y₂) values to get the exact distance, Manhattan distance, midpoint, slope, and angle between the two points, with no sign-up required.
The distance formula is d = √((x₂−x₁)² + (y₂−y₁)²). It comes directly from the Pythagorean theorem: the horizontal difference (Δx) and vertical difference (Δy) form the two legs of a right triangle, and the distance is the hypotenuse.
Euclidean distance is the straight-line ("as the crow flies") distance between two points. Manhattan distance — |x₂−x₁| + |y₂−y₁| — measures how far you'd travel on a grid if you could only move horizontally or vertically, like navigating city blocks.
The midpoint formula is M = ((x₁+x₂)/2, (y₁+y₂)/2). Simply average the x-coordinates and average the y-coordinates. This calculator shows the midpoint automatically alongside the distance.
Yes. Enter any real number — positive, negative, or decimal — for x₁, y₁, x₂, and y₂. The calculator handles all cases correctly, including points in different quadrants.