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Slope Calculator

Gradient, angle, distance and the line equation.

Reviewed by James Whitfield · How we check our maths

Your values

ⓘ Live results

Results
Slope (m)
1.5
Equation
y = 1.5x + 0
Angle of incline
56.31°
Distance between points
10.816654
Percent grade
150%

Working

  1. 1m = (12 − 3) ÷ (8 − 2) = 1.5

Quick answer

Slope is rise over run: m = (y₂ − y₁) ÷ (x₂ − x₁).

The formula

m = (y₂ − y₁) ÷ (x₂ − x₁)

Worked example

Worked example

Using the values the calculator loads with.

Inputs

  • x₁2
  • y₁3
  • x₂8
  • y₂12

Result

  • Slope (m)1.5
  • Equationy = 1.5x + 0
  • Angle of incline56.31°
  • Distance between points10.816654
  • Percent grade150%

How to use the Slope Calculator

  1. 1Enter the coordinates of the first point.
  2. 2Enter the second point.
  3. 3Read the slope and line equation.

Frequently asked questions

What is a negative slope?

The line falls left to right — y decreases as x increases.

What does percent grade mean?

Slope expressed as a percentage, used for roads and ramps. A 5% grade rises 5 feet over 100 feet of run.

About this calculator