1. What is Slope?

Slope measures the steepness or incline of a line, representing the ratio of vertical change (rise) to horizontal change (run) between two points. It's a fundamental concept in mathematics, engineering, and construction.

2. How to Calculate Slope

The basic slope formula is:

Where:

• Rise — Vertical change (difference in y-values)
• Run — Horizontal change (difference in x-values)

Additional Calculations:

• Angle: \( \theta = \arctan(\text{Slope}) \)
• Grade: \( \text{Grade} = \text{Slope} \times 100\% \)

3. Practical Applications

Details: Slope calculations are essential in roofing, road construction, wheelchair ramps, landscaping, and many engineering applications. The ADA recommends a maximum slope of 1:12 for wheelchair ramps.

4. Using the Calculator

Tips: Enter the vertical change (rise) and horizontal change (run) in consistent units (both in feet, meters, etc.). Run must be greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What does a slope of 1 mean?
A: A slope of 1 means a 45° angle where rise equals run (1 foot up for every 1 foot forward).

Q2: How do you calculate slope percentage?
A: Multiply the slope ratio by 100. For example, a slope of 0.15 = 15% grade.

Q3: What's the difference between slope and angle?
A: Slope is a ratio (rise/run), while angle is the actual inclination in degrees.

Q4: Can slope be negative?
A: Yes, negative slope indicates a downward incline from left to right.

Q5: What's the maximum slope for a car ramp?
A: Typically 15-20% (slope of 0.15-0.20) for most vehicles, but consult local regulations.