Slope Calculator — Formule
## How to Calculate Slope
### Formula
**m = (y₂ - y₁) / (x₂ - x₁)**
The slope represents the rate of change — how much y changes for each unit increase in x.
### Line Equation
Once you have the slope (m) and y-intercept (b), the line equation is: **y = mx + b**
Where b = y₁ - m × x₁
### Formula
**m = (y₂ - y₁) / (x₂ - x₁)**
The slope represents the rate of change — how much y changes for each unit increase in x.
### Line Equation
Once you have the slope (m) and y-intercept (b), the line equation is: **y = mx + b**
Where b = y₁ - m × x₁
Exemple Résolu
Find the slope of the line through points (1, 2) and (4, 8).
- Slope = (8 - 2) / (4 - 1) = 6 / 3 = 2
- Y-intercept: b = 2 - 2 × 1 = 0
- Line equation: y = 2x
- Distance = √((4-1)² + (8-2)²) = √(9 + 36) = √45 ≈ 6.7082