Slope Formula — How to Calculate Slope
Slope measures the steepness and direction of a line. It's fundamental in algebra, geometry, calculus, and real-world applications like road gradients.
Slope Formula
m = (y₂ - y₁) / (x₂ - x₁)
Where:
- m = Slope
- (x₁,y₁) = First point
- (x₂,y₂) = Second point
Step-by-Step:
- 1
Identify the two points
Label them (x₁,y₁) and (x₂,y₂).
- 2
Subtract y-coordinates
Calculate y₂ - y₁ (rise).
- 3
Subtract x-coordinates
Calculate x₂ - x₁ (run).
- 4
Divide
Slope = rise / run.
Worked Examples:
Two points
Point 1: (2, 3)Point 2: (6, 11)
Result: m = 2
m = (11-3)/(6-2) = 8/4 = 2