Slope Calculator
Calculate slope, angle, percent grade, equation, intercept, and distance using the method you need.
Enter two points
Enter one point and slope
Enter one point and angle
Enter one point and percent grade
%
Slope (m)
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Angle
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Percent grade
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Vertical line?
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Line equation
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y-intercept
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Distance between points
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Rise / Run
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Reference formulas
| Quantity | Formula |
|---|---|
| Slope | m = (y₂ − y₁) / (x₂ − x₁) |
| Angle | θ = arctan(m) |
| Percent grade | % = 100 × m |
| Distance | d = √[(x₂ − x₁)² + (y₂ − y₁)²] |
Use this Slope Calculator to find slope, angle, percent grade, line equation, y-intercept, and distance from two points or other known line values.
Calculation Method
For two points (x₁, y₁) and (x₂, y₂):
Slope = (y₂ − y₁) ÷ (x₂ − x₁)
Angle = arctan(slope)
Percent grade = slope × 100
Distance = √[(x₂ − x₁)² + (y₂ − y₁)²]
For a non-vertical line:
y = mx + b
Example
For points (2, 3) and (8, 15):
Slope = (15 − 3) ÷ (8 − 2) = 2
Angle = arctan(2) ≈ 63.43°
Percent grade = 200%
Important Note
A vertical line has undefined slope because its horizontal change is zero. Percent grade and angle are not the same measurement; for example, a 100% grade corresponds to a 45° angle.