1. What is Slope?

Slope is a measure of the steepness of a line, representing 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:

• \( x_1, y_1 \) — Coordinates of the first point
• \( x_2, y_2 \) — Coordinates of the second point

Explanation: The formula calculates the rate of change between two points on a coordinate plane.

3. Importance of Slope Calculation

Details: Slope is fundamental in mathematics, physics, engineering, and economics for analyzing rates of change, gradients, and linear relationships.

4. Using the Calculator

Tips: Enter the coordinates of two points (x1, y1) and (x2, y2). The calculator will compute the slope. If x2 = x1, the slope is undefined (vertical line).

5. Frequently Asked Questions (FAQ)

Q1: What does a positive slope indicate?
A: A positive slope indicates that the line rises from left to right.

Q2: What does a negative slope indicate?
A: A negative slope indicates that the line falls from left to right.

Q3: What does a zero slope mean?
A: A zero slope means the line is horizontal, indicating no vertical change.

Q4: When is slope undefined?
A: Slope is undefined when the line is vertical (x2 = x1), as division by zero is not possible.

Q5: How is slope used in real-world applications?
A: Slope is used in various fields including construction (ramp design), economics (supply/demand curves), and physics (velocity calculations).