1. What is Slope?

Slope is a measure of the steepness of a line. It represents the ratio of the vertical change (rise) to the horizontal change (run) between two points on a line.

2. How Does the Calculator Work?

The calculator uses the slope formula:

Where:

• \( y_1 \) — Y-coordinate of first point
• \( y_2 \) — Y-coordinate of second point
• \( x_1 \) — X-coordinate of first point
• \( x_2 \) — X-coordinate of second point

Explanation: The slope is calculated by dividing the difference in y-coordinates by the difference in x-coordinates between two points on the line.

3. Importance of Slope Calculation

Details: Slope is fundamental in mathematics, physics, engineering, and many other fields. It describes rates of change, gradients, and inclines in various applications from road construction to data analysis.

4. Using the Calculator

Tips: Enter the coordinates of two points on the line. The calculator will determine the slope. If the line is vertical (x-coordinates 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 a zero slope mean?
A: A zero slope means the line is horizontal (no vertical change).

Q4: What does undefined slope mean?
A: An undefined slope occurs when the line is vertical (no horizontal change).

Q5: How is slope used in real life?
A: Slope is used in construction (ramps, roofs), economics (supply/demand curves), physics (velocity), and many other applications.