1. What is Slope Gradient?

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

2. How Does the Calculator Work?

The calculator uses the slope formula:

Where:

• \( \text{rise} \) — Vertical change (difference in y-values)
• \( \text{run} \) — Horizontal change (difference in x-values)

Additional Calculations:

• Angle = arctan(slope) converted to degrees
• Grade = slope × 100%

3. Importance of Slope Calculation

Details: Slope calculations are essential in road design, roof pitch determination, wheelchair ramp construction, and many engineering applications where incline affects safety and functionality.

4. Using the Calculator

Tips: Enter the vertical change (rise) and horizontal change (run) in any consistent units. The run must be a positive value. Results show slope ratio, angle in degrees, and percentage grade.

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 (100% grade).

Q2: What's the difference between slope and grade?
A: Slope is the ratio (rise:run), while grade is the percentage (slope × 100%).

Q3: What's the maximum possible slope?
A: Theoretically infinite (vertical line), but practical limits depend on application (e.g., roads typically ≤30% grade).

Q4: How is slope used in real-world applications?
A: Used in road design, wheelchair ramps (max 8.33%), roof construction, and landscape drainage.

Q5: What does a negative slope indicate?
A: A negative slope means the line or surface is decreasing (going downward in the direction of movement).