Slope Calculator
Calculate the slope (gradient) between two points (x₁, y₁) and (x₂, y₂). Plus the angle, line equation, and slope as a percentage (useful for grades and ramps).
Inputs
Slope (m)
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Line equation
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Angle from horizontal
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Grade (slope as %)
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Distance between points
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About Slope Calculator
Slope formula
m = (y₂ − y₁) ÷ (x₂ − x₁). The change in y ("rise") divided by the change in x ("run"). Vertical lines have undefined slope; horizontal lines have slope 0.
Grade vs slope
Slope as a fraction is the geometric ratio. Grade (used for roads, ramps, ski runs) is the same value as a percent. A 5% grade means 5 units rise per 100 units horizontal — pretty steep for a road.
Line equation
Slope-intercept form: y = mx + b. Once you have slope m and one point, the y-intercept b = y − mx (substituting either point). Then any (x, y) on the line satisfies y = mx + b.