Slope Calculator

Calculate the slope between two points on a coordinate plane. Essential for mathematics, engineering, and construction.

How to Use Slope Calculator

1. 1.**Enter coordinates** for the first point (x₁, y₁)
2. 2.**Enter coordinates** for the second point (x₂, y₂)
3. 3.**Click "Calculate Slope"** to get results
4. 4.**View slope value, angle, and type**

Features

• •**Slope Formula**: m = (y₂ - y₁) / (x₂ - x₁)
• •**Angle Calculation**: Convert slope to degrees
• •**Slope Type**: Identify positive, negative, horizontal, or vertical
• •**Real-time Results**: Instant calculations

Slope Formula

The slope (m) between two points (x₁, y₁) and (x₂, y₂) is:

m = (y₂ - y₁) / (x₂ - x₁)

Slope Types

• •**Positive Slope**: Line rises from left to right
• •**Negative Slope**: Line falls from left to right
• •**Zero Slope**: Horizontal line (y₂ = y₁)
• •**Undefined Slope**: Vertical line (x₂ = x₁)

Common Applications

• •**Construction**: Roof pitch, ramp design, drainage
• •**Engineering**: Road design, pipeline gradients
• •**Mathematics**: Linear equations, graph analysis
• •**Surveying**: Land elevation changes
• •**Physics**: Velocity, acceleration calculations

Slope Angle Relationships

• •**0°**: Horizontal line (slope = 0)
• •**45°**: 45-degree angle (slope = 1)
• •**90°**: Vertical line (undefined slope)
• •**-45°**: -45-degree angle (slope = -1)

Practical Examples

• •**Roof Pitch**: Rise 6ft, Run 12ft = slope 0.5 (26.6°)
• •**Road Grade**: Rise 100ft, Run 1000ft = slope 0.1 (5.7°)
• •**Ramp**: Rise 1ft, Run 12ft = slope 0.083 (4.8°)

Tips for Using Slope Calculator

• •**Enter coordinates accurately** for precise results
• •**Check for vertical lines** (undefined slope)
• •**Consider units** when working with real measurements
• •**Use negative values** for points below origin
• •**Verify calculations** with graphing when possible