Slope Calculator

Calculate the slope of a line using points or rise over run. The slope formula is m = (y₂ - y₁) ÷ (x₂ - x₁) or rise ÷ run

Calculator

Results

Enter values and click calculate to see results

Understanding Slope

Basic Concepts

  • Slope measures steepness of a line
  • Formula: m = (y₂ - y₁) ÷ (x₂ - x₁)
  • Also written as: rise ÷ run
  • Positive slope: line goes up
  • Negative slope: line goes down

Special Cases

  • Horizontal line: slope = 0
  • Vertical line: undefined slope
  • 45° line: slope = 1 or -1
  • Parallel lines: same slope
  • Perpendicular lines: negative reciprocal slopes

Applications

  • Construction and architecture
  • Road and ramp design
  • Data analysis and trends
  • Physics and engineering
  • Geography and topography