How do I use the Slope Calculator?
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Slope Calculator
Calculate the slope between two points. Enter your values, review the formula, and use the worked result as a quick check for everyday planning.
Slope Calculator
Calculate the slope between two points.
Any numeric value
Any numeric value
Any numeric value (not equal to x₁)
Any numeric value
Results
Slope (m)
1.5
Angle
56.309932 °
Formula: Slope = (y₂-y₁) / (x₂-x₁)
Slope Between Two Points
Calculate the slope (gradient) of the line passing through two points, plus the angle of inclination in degrees. The slope represents the rate of change: how much y changes per unit change in x.
Formula
Slope m = (y₂ − y₁) ÷ (x₂ − x₁). If x₂ = x₁, the slope is undefined (vertical line). The angle = arctan(m) × 180/π degrees.
Worked example
Points (1, 2) and (5, 8): rise = 6, run = 4, slope = 1.5. Angle = arctan(1.5) = 56.3°. A line with slope 1 makes a 45° angle.
Practical guidance
Slope interpretation
Slope > 0: line goes upward left to right. Slope < 0: line goes downward. Slope = 0: horizontal line. Slope = 1: 45° angle. Slope undefined: vertical line.
Real-world slope applications
Roof pitch, road grade, wheelchair ramp specifications, drainage slope, and statistical trend lines all use slope. A 6% road grade means a slope of 0.06 (rise of 6 m per 100 m horizontal).
Frequently asked questions
What formula does this calculator use?
Slope = (y₂-y₁) / (x₂-x₁)
Can I use decimal values?
Yes. Decimal inputs are supported for most calculators. Integer-based tools use rounded integer values where appropriate.
Is this calculator free?
Yes. CalcuNimble calculators are free and optimized for fast everyday use.