1. What Is Slope?

Slope represents the steepness or incline of a line or terrain, calculated as the ratio of vertical change (rise) to horizontal change (run). It describes how much a line rises or falls for each unit of horizontal distance.

2. How Does The Calculator Work?

The calculator uses the fundamental slope formula:

Where:

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

Explanation: The slope indicates the rate of change - positive slope means upward incline, negative slope means downward decline, and zero slope means horizontal line.

3. Importance Of Slope Calculation

Details: Slope calculation is essential in mathematics, engineering, construction, road design, and geography. It helps determine angles, gradients, and proper drainage systems.

4. Using The Calculator

Tips: Enter rise (vertical change) and run (horizontal change) in consistent units. Run must be greater than zero. The result shows slope as a unitless ratio or with units matching your input.

5. Frequently Asked Questions (FAQ)

Q1: What does a slope of 1 mean?
A: A slope of 1 means the line rises 1 unit for every 1 unit of horizontal distance - a 45-degree angle.

Q2: Can slope be negative?
A: Yes, negative slope indicates the line is decreasing - going downward as you move from left to right.

Q3: What is the difference between slope and gradient?
A: Slope is typically used for lines in mathematics, while gradient often refers to terrain steepness, but both represent rise over run.

Q4: How is slope used in real life?
A: Used in road construction (determining safe grades), wheelchair ramps (ADA requirements), roofing (pitch), and drainage systems.

Q5: What if my run is zero?
A: Run cannot be zero as this would represent a vertical line with undefined slope. The calculator requires run > 0.