algebra calculators

Slope Calculator

Calculate the slope between two points

About this calculator

A slope calculator determines the steepness or incline of a line by computing the rate of change between two points on a coordinate plane. This mathematical tool is essential for students, engineers, architects, and professionals who work with linear equations, graphing, or construction projects. The slope value indicates how much the y-coordinate changes for each unit change in the x-coordinate, helping you understand the relationship between variables and analyze linear trends in data or physical structures.

How to use

Enter the coordinates of two points: (x₁, y₁) and (x₂, y₂) into the designated input fields. The calculator will automatically apply the slope formula (y₂ - y₁) / (x₂ - x₁) to compute the result. The output shows the slope value, which can be positive, negative, zero, or undefined depending on the line's direction.

Frequently asked questions

What does a negative slope mean?

A negative slope indicates the line is decreasing from left to right, meaning as x increases, y decreases.

When is a slope undefined?

A slope is undefined when the line is vertical, which occurs when both points have the same x-coordinate.

What's the difference between slope and gradient?

Slope and gradient are essentially the same concept, both measuring the steepness of a line between two points.