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 on a line.

2. How Does the Calculator Work?

The calculator uses the slope formula:

Where:

• \( Rise \) — Vertical change between two points
• \( Run \) — Horizontal change between two points

Explanation: The slope indicates how much y changes for a unit change in x. Positive slope means upward trend, negative means downward, and zero means horizontal.

3. Importance of Slope Calculation

Details: Slope is fundamental in mathematics, physics, engineering, and geography. It's used in road design, roof pitch, wheelchair ramps, and analyzing data trends.

4. Using the Calculator

Tips: Enter rise and run values in consistent units. Run cannot be zero (undefined slope). The calculator provides slope as a decimal value.

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 unit up for every 1 unit right).

Q2: How is slope different from gradient?
A: Slope is a ratio (rise/run), while gradient is often expressed as a percentage (slope × 100%).

Q3: What's considered a steep slope?
A: In general: 0-5% is gentle, 5-10% is moderate, 10-15% is steep, and >15% is very steep.

Q4: Can slope be negative?
A: Yes, negative slope indicates a downward trend (as x increases, y decreases).

Q5: How is slope used in real life?
A: Used in construction (ramps, roofs), road design, wheelchair accessibility, hiking trails, and analyzing data trends.