Slope Calculator
Slope calculation is essential in mathematics, engineering, and physics for determining steepness, direction, and rate of change. It helps in road construction, roof pitch determination, and analyzing trends in data. Slope calculations are crucial for graphing linear equations, designing ramps, and predicting patterns in various scientific fields.
Calculator
To use this calculator, simply save this webpage and open it in any modern web browser. No installation required!
Slope Formula & Derivation
The slope formula m = (y₂ - y₁)/(x₂ - x₁) derives from the concept of "rise over run". For two points (x₁,y₁) and (x₂,y₂):
- Calculate vertical change (rise) between points: Δy = y₂ - y₁
- Calculate horizontal change (run) between points: Δx = x₂ - x₁
- Divide rise by run to get slope: m = Δy/Δx
This ratio represents the rate at which y changes per unit change in x. The derivation comes from similar triangles concept in geometry, maintaining constant steepness between any two points on a straight line.
How to Use
1. Enter x and y coordinates for two points
2. Click "Calculate Slope"
3. View result and FAQs
4. Use "Clear" to reset
Ensure numeric inputs and different x-values for valid calculation. Results show decimal format with two decimal places.