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Slope Calculator
Calculate the slope of a line between two points with step-by-step solutions
Point Coordinates
Point 1 (x₁, y₁)
Current: (1, 2)
Point 2 (x₂, y₂)
Current: (4, 8)
Calculate Slope
Formula
m = (y₂ - y₁) / (x₂ - x₁)
where m is the slope
Example Points
Positive slope
(1, 2) and (4, 8)
Negative slope
(0, 5) and (3, -1)
Horizontal line
(-2, 3) and (5, 3)
Vertical line
(2, -1) and (2, 7)
Through origin
(0, 0) and (3, 4)
Results
Enter two points and click Calculate to see results
Slope Interpretation
Slope Values
m > 0: Line rises (positive)
m < 0: Line falls (negative)
m = 0: Horizontal line
m = undefined: Vertical line
Steepness
|m| = 1: 45° angle
|m| > 1: Steep line
|m| < 1: Gentle line
|m| → ∞: Nearly vertical
Applications
Rate of change
Parallel lines: same slope
Perpendicular: slopes multiply to -1
Road grade/incline
Tips
Enter the dimensions in the same unit for consistency.
Results update automatically as you type.
Use the unit selector to convert between different measurement systems.