Slope Calculator
Calculate the slope between any two points, find the line equation, y-intercept, and angle of inclination.
Slope Calculator
Find slope between two points (x₁,y₁) and (x₂,y₂)
Slope Result
About Slope Calculator
Calculate the slope between any two points, find the line equation, y-intercept, and angle of inclination. Perfect for algebra students and coordinate geometry.
Slope Formula
m = (y₂ - y₁) / (x₂ - x₁)
Slope-Intercept Form: y = mx + b
Slope Examples
| Points | Slope | Description |
|---|---|---|
| (1,2) and (4,8) | 2 | Positive slope → line goes up |
| (1,8) and (4,2) | -2 | Negative slope → line goes down |
| (1,5) and (4,5) | 0 | Zero slope → horizontal line |
| (2,1) and (2,5) | Undefined | Undefined → vertical line |
Frequently Asked Questions
Slope measures the steepness of a line. Formula: slope = (y₂ - y₁) / (x₂ - x₁). Positive slope = line goes up, negative slope = line goes down, zero slope = horizontal line, undefined slope = vertical line.
Use the formula: m = (y₂ - y₁) / (x₂ - x₁). Example: Points (1,2) and (4,8) → m = (8-2)/(4-1) = 6/3 = 2.
y = mx + b, where m = slope, b = y-intercept (where line crosses y-axis). Example: y = 2x + 3 has slope 2, crosses y-axis at (0,3).
A positive slope means as x increases, y increases. The line goes up from left to right. Example: y = 2x + 1.
A negative slope means as x increases, y decreases. The line goes down from left to right. Example: y = -2x + 1.
About the Slope Calculator
Calculate the slope between any two points, find the line equation, y-intercept, and angle of inclination.
Formula
Reference Table
| Category | Value |
|---|---|
| (1,2) and (4,8) | 2 |
| (1,8) and (4,2) | -2 |
| (1,5) and (4,5) | 0 |
| (2,1) and (2,5) | Undefined |