Slope Calculator
Calculate the slope, angle, and equation of a line from two points or from one point and slope
Calculate the slope, angle, and equation of a line from two points or from one point and slope.
Slope Calculator
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
m = (y₂ - y₁) / (x₂ - x₁) = tan(θ)
Where:
• m — slope
• θ — angle of incline
Graphical Representation:
If the 2 Points are Known
If 1 Point and the Slope are Known
°
About Slope
Slope is a measure of how steep a line is. It represents the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line.
Slope Types:
- • Positive slope: Line rises from left to right
- • Negative slope: Line falls from left to right
- • Zero slope: Horizontal line
- • Undefined slope: Vertical line
Common Slopes:
• 0° = 0 (horizontal)
• 30° ≈ 0.577
• 45° = 1 (diagonal)
• 60° ≈ 1.732
• 90° = undefined (vertical)
Applications:
- • Road gradients
- • Roof pitches
- • Ramp inclines
- • Linear functions
- • Rate of change
Formulas:
m = (y₂ - y₁) / (x₂ - x₁)
m = tan(θ)
θ = arctan(m)
d = √(Δx² + Δy²)