1. What is the Slope Formula?

The slope formula calculates the steepness or incline of a line between two points in a coordinate system. It represents the rate of change between the y-values and x-values of the two points.

2. How Does the Calculator Work?

The calculator uses the slope formula:

Where:

• \( m \) — Slope (unitless)
• \( x_1 \) — x-coordinate of first point (unitless)
• \( y_1 \) — y-coordinate of first point (unitless)
• \( x_2 \) — x-coordinate of second point (unitless)
• \( y_2 \) — y-coordinate of second point (unitless)

Explanation: The formula calculates the ratio of vertical change (rise) to horizontal change (run) between two points.

3. Importance of Slope Calculation

Details: Slope is fundamental in mathematics, physics, engineering, and economics. It helps determine the direction and steepness of lines, rates of change, and gradients in various applications.

4. Using the Calculator

Tips: Enter the coordinates of two points. The calculator will compute the slope. If the x-coordinates are equal, 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 change in y-value.

Q4: When is slope undefined?
A: Slope is undefined when the line is vertical (x₂ - x₁ = 0).

Q5: Can slope be used for non-linear functions?
A: For non-linear functions, slope represents the instantaneous rate of change at a specific point (derivative).