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Distance, Midpoint & Slope Calculator

Find the distance, midpoint, and slope between two coordinate points using the standard coordinate-geometry formulas.

Distance
5
Midpoint
(2.5, 4)
Slope
1.3333

How it works

Given two points (x₁, y₁) and (x₂, y₂), distance is the Pythagorean theorem applied to the horizontal and vertical gap between them: distance = √((x₂−x₁)² + (y₂−y₁)²). Midpoint is simply the average of each coordinate: ((x₁+x₂)/2, (y₁+y₂)/2). Slope is rise over run: (y₂−y₁) ÷ (x₂−x₁).

Slope is undefined when x₁ equals x₂ — the line through the two points is vertical, and a vertical line has no well-defined 'rise per unit of run,' so this calculator reports that explicitly instead of dividing by zero.

FAQ

Why do I need two different points?

A single point doesn't determine a line, so distance, midpoint, and slope aren't meaningful for two identical points — distance would be zero and slope would be 0÷0, which is undefined, not just zero.

What does a negative slope mean?

A positive slope means the line rises as x increases (left to right); a negative slope means it falls. A slope of zero means a perfectly horizontal line, and an undefined slope (shown when x₁ = x₂) means a perfectly vertical one.

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