Slope measures the steepness and direction of a line: m = (y₂−y₁)/(x₂−x₁), or 'rise over run.' Positive slope goes up-right, negative goes down-right. m=0 is horizontal, undefined (vertical) means x₁=x₂. The slope leads directly to the line equation y = mx + b.
How to Use
Enter two points (x₁,y₁) and (x₂,y₂):
- Slope: Δy/Δx computed
- Equation: y = mx + b generated
- Related: Parallel and perpendicular slopes
Line Equation Forms
- Slope-intercept: y = mx + b
- Point-slope: y − y₁ = m(x − x₁)
- Standard: Ax + By = C
Special Slopes
- Parallel lines have equal slopes
- Perpendicular slopes: m₁ × m₂ = −1
- Horizontal: m = 0
- Vertical: m = undefined
Step-by-Step Instructions
- 1Enter coordinates for Point 1 (x₁, y₁).
- 2Enter coordinates for Point 2 (x₂, y₂).
- 3View the calculated slope.
- 4Check the line equation forms.
- 5See parallel and perpendicular slopes.