📈 Rise Over Run Calculator
Calculate slope from rise and run
Change in y (Δy)
Change in x (Δx), cannot be zero
How to Use This Calculator
Enter Rise
Input the vertical change (rise) - the change in y-coordinate (Δy).
Enter Run
Input the horizontal change (run) - the change in x-coordinate (Δx). Run cannot be zero.
Calculate
Press "Calculate Slope" to find the slope (rise/run), angle, and percentage.
Formula
Slope = Rise / Run = Δy / Δx
Angle = arctan(slope)
Percentage = slope × 100%
Example: Rise = 4, Run = 2
Slope = 4 / 2 = 2
Angle = arctan(2) ≈ 63.43°
Percentage = 2 × 100% = 200%
About Rise Over Run Calculator
The Rise Over Run Calculator finds the slope of a line from its vertical change (rise) and horizontal change (run). Rise over run is the standard way to calculate slope.
When to Use This Calculator
- Geometry: Calculate slopes from rise and run
- Construction: Measure roof slopes and grades
- Engineering: Calculate gradients and inclines
- Mathematics: Understand slope concepts
Frequently Asked Questions
What is rise over run?
Rise over run is the ratio of vertical change (rise) to horizontal change (run). It's the standard way to calculate slope: slope = rise / run = Δy / Δx.
Can run be negative?
Yes! Negative run means the line moves left (decreasing x). Negative rise means the line moves down (decreasing y). The slope can be positive, negative, or zero.
What if run is zero?
If run = 0, the line is vertical (infinite slope, undefined slope). This means there's no horizontal change - the line only moves vertically.
How do I convert slope to percentage?
Multiply the slope by 100: percentage = slope × 100%. For example, slope = 0.05 means 5% grade (5 feet rise per 100 feet run).