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Math

Slope Calculator

Find rise, run, slope and the y-intercept of the line through two coordinate points.

Exact method explained belowEditable inputs

Set up your calculation

Runs on your device

SOLUTION

Your result

Let’s calculate.

Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter first point: x, first point: y, second point: x, second point: y.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

The method, explained

Slope = (y₂ − y₁) ÷ (x₂ − x₁). For a nonvertical line, y-intercept = y₁ − slope × x₁.

A WORKED EXAMPLE

From (0, 0) to (3, 4), rise is 4, run is 3, slope is 4/3 and the y-intercept is 0.

What to keep in mind

A vertical line has undefined slope; identical points do not determine a unique line. Coordinates are numerical values on a Cartesian plane, not geographic bearings.

Common questions

Does reversing the points change the slope?

No. Both rise and run change sign, leaving their ratio unchanged.

What is the slope of a horizontal line?

Zero, provided the points have different x coordinates.

Methodology maintained by ClarityKit. How these tools are built and checked.