Slope Calculator

Calculate the slope (gradient) of a line by entering two points. Our slope calculator helps you find the rate of change between any two points on a line using the slope formula (rise over run).

What is Slope?

Slope is a measure of steepness that describes how much a line rises or falls as it moves from left to right. It’s calculated using the formula:

slope (m) = (y₂ - y₁) / (x₂ - x₁)

where (x₁, y₁) is the first point and (x₂, y₂) is the second point.

How to Use This Calculator

1. Enter the x-coordinate of the first point (x₁)
2. Enter the y-coordinate of the first point (y₁)
3. Enter the x-coordinate of the second point (x₂)
4. Enter the y-coordinate of the second point (y₂)
5. The calculator will instantly show you the slope

Understanding the Results

• A positive slope means the line goes up from left to right
• A negative slope means the line goes down from left to right
• A slope of 0 means the line is horizontal
• An undefined slope means the line is vertical (x₁ = x₂)

Common Applications

• Graphing linear equations
• Finding rates of change
• Analyzing trends in data
• Calculating gradients in engineering
• Determining steepness in construction

Tips for Accurate Calculations

• Make sure your points are different (x₁ ≠ x₂)
• Double-check your coordinates
• Consider reducing the fraction if possible
• Remember that order of points doesn’t affect the slope value

Frequently Asked Questions

What does a negative slope mean?

A negative slope indicates that the line decreases as you move from left to right. The larger the absolute value, the steeper the decline.

Can slope be undefined?

Yes, when x₁ equals x₂ (a vertical line), the slope is undefined because division by zero is undefined in mathematics.

What’s the difference between slope and gradient?

Slope and gradient are the same thing - they both measure the steepness of a line. The term “gradient” is more commonly used in engineering and construction contexts.