DocomintSteigungs- und Distanzrechner
Berechne Steigung, Distanz und Mittelpunkt zwischen zwei Punkten in einem Koordinatensystem.
What is a Steigungs- und Distanzrechner?
Three related two-point calculations in one: slope (rise over run, the steepness of the line between them), the straight-line distance via the distance formula (a direct application of the Pythagorean theorem), and the midpoint — the standard trio covered in an algebra or geometry unit on coordinate planes.
How to use the Steigungs- und Distanzrechner
- Enter the coordinates of two points, (x1, y1) and (x2, y2)
- Press Calculate
- Slope, distance, and midpoint appear instantly, computed on your device
Formula
Slope = (y₂−y₁)/(x₂−x₁) | Distance = √((x₂−x₁)² + (y₂−y₁)²) | Midpoint = ((x₁+x₂)/2, (y₁+y₂)/2)
Distance is a direct application of the Pythagorean theorem to the horizontal and vertical gap between the two points.
Example
The points (1, 2) and (7, 10) are a distance of exactly 10 apart, have a midpoint at (4, 6), and a slope of 8/6 = 1.333... — a vertical pair of points like (5, 2) and (5, 10) instead returns an undefined slope, since a vertical line has no defined rise-over-run.
Common mistakes
- Subtracting x- and y-coordinates in inconsistent order — if y2−y1 is used on top, x2−x1 must be used on the bottom, not x1−x2.
- Expecting a numeric slope for a vertical pair of points — that's mathematically undefined (a run of 0), not a very large number.
- Confusing distance (always positive) with slope (can be negative for a downward-sloping line).
Frequently asked questions
How is slope calculated between two points?
Slope is rise over run: (y2 − y1) / (x2 − x1) — how much y changes for every unit x changes. A slope of 2 means the line rises 2 units for every 1 unit it moves right.
What does an undefined slope mean?
It means the line is perfectly vertical — both points share the same x-coordinate, which would require dividing by zero (a run of 0) in the slope formula. Vertical lines are described by their x-value instead of a slope.
What does a negative slope mean?
The line moves downward as x increases — y decreases for every unit x moves right, the opposite direction from a positive slope's upward line.
Can I use this for 3D points?
No — this works in a 2D coordinate plane only (x, y). A 3D distance calculation needs a third coordinate and a different formula this tool doesn't compute.
Is my numbers uploaded anywhere?
No — Steigungs- und Distanzrechner runs entirely in your browser using JavaScript/WebAssembly. Your numbers is never sent to a server.