# Slope Calculator

> Find the slope of the line through two points using m = (y₂ − y₁) / (x₂ − x₁), or give a slope and three coordinates and solve for the fourth. Handles positive, negative, zero, and undefined (vertical) slopes, and reports the angle, grade, ratio, and line equations.

**URL:** https://www.calculatoranswers.com/slope-calculator
**Category:** Education

## Quick Answer

Find the slope of a line passing through two coordinate points, or switch the Solve for control and recover a missing coordinate from a known slope. Enter the values to calculate the gradient, rise, and run.

## Definition

A slope calculator is a coordinate geometry utility that computes the slope or gradient of a straight line passing through two specified points. It operates by dividing the vertical change, known as the rise, by the horizontal change, known as the run. The same relationship can be run backwards, so the calculator also solves for a missing x or y coordinate when the slope and the other three coordinates are known. It identifies positive, negative, zero, and vertical undefined slopes, and reports two identical points as not determined rather than as a line. Educators, students, and civil engineers employ this tool to understand linear equations, design accessibility ramps, and analyze structural grades.

## How to Use

1. **Input the coordinates** — Type the horizontal and vertical coordinates for the two points into the input fields.
2. **Inspect rise and run** — Review the intermediate horizontal and vertical differences calculated between your points.
3. **Read the slope value** — View the final slope as a decimal, an angle in degrees, a percent grade, a rise-to-run ratio, and within a linear equation.

## Disclaimer

This calculator provides estimates for educational and planning purposes. Always consult a qualified professional for specific advice on financial, medical, legal, or other regulated decisions.

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