1. What is Slope?

Slope measures the steepness of a line, representing the ratio of vertical change to horizontal change between two points on a line.

2. How Does the Calculator Work?

The calculator uses the slope formula:

Where:

• \( (x_1, y_1) \) — First point coordinates
• \( (x_2, y_2) \) — Second point coordinates

Explanation: The numerator represents the vertical change (rise) and the denominator represents the horizontal change (run) between two points.

3. Importance of Slope Calculation

Details: Slope is fundamental in mathematics, physics, engineering, and economics. It describes rates of change in linear relationships and is essential for graphing and analyzing linear equations.

4. Using the Calculator

Tips: Enter any two points on a line. The calculator will determine the slope. For vertical lines (where x-coordinates are equal), the slope is undefined.

5. Frequently Asked Questions (FAQ)

Q1: What does a positive slope mean?
A: A positive slope indicates the line rises as it moves from left to right.

Q2: What does a negative slope mean?
A: A negative slope indicates the line falls as it moves from left to right.

Q3: What does zero slope mean?
A: A zero slope indicates a horizontal line (no vertical change).

Q4: What does undefined slope mean?
A: An undefined slope indicates a vertical line (no horizontal change).

Q5: How is slope used in real life?
A: Slope is used in construction (roof pitch), roads (gradient), economics (marginal rates), and physics (velocity).