Slope Calculator

Find slope, distance, line equations, angle of incline, perpendicular bisector, and 3D coordinate slope with instant step-by-step analysis.

Calculate Slope & Distance from Two Points

Enter the coordinates of two points (X₁, Y₁) and (X₂, Y₂) to calculate slope, distance, line equations, and angle.

Point 1 (X₁):

Point 1 (Y₁):

Point 2 (X₂):

Point 2 (Y₂):

Find Line Equation from Point & Slope

Provide a point coordinate (X₁, Y₁) and slope (m) to compute line equations and intercepts.

Point (X₁):

Point (Y₁):

Slope (m):

Convert & Analyze Line Equation

Enter coefficients for standard form: Ax + By = C to calculate slope and intercepts.

Coefficient A:

Coefficient B:

Constant C:

Find Perpendicular Bisector

Calculate the perpendicular bisector equation and midpoint between two points.

Point 1 (X₁):

Point 1 (Y₁):

Point 2 (X₂):

Point 2 (Y₂):

3D Coordinates Distance & Pitch Slope

Calculate 3D spatial distance and pitch incline between (X₁, Y₁, Z₁) and (X₂, Y₂, Z₂).

Point 1 (X₁):

Point 1 (Y₁):

Point 1 (Z₁):

Point 2 (X₂):

Point 2 (Y₂):

Point 2 (Z₂):

How to Use the Slope Calculator

Select your desired calculation tab above. Enter coordinate values or line coefficients to solve slope (m), distance (d), incline angle (θ), equations of lines, perpendicular bisectors, and 3D spatial trajectories instantly.

Slope Formula: m = (Y₂ - Y₁) / (X₂ - X₁)
Slope-Intercept Form: y = mx + b
2D Distance Formula: d = √((X₂ - X₁)² + (Y₂ - Y₁)²)

Frequently Asked Questions (FAQ)

The slope of a line measures its steepness and direction. It is calculated as the vertical change (rise) divided by the horizontal change (run), represented as m = (Y₂ - Y₁) / (X₂ - X₁).

The angle of incline (θ) in degrees is calculated using the arctangent function: θ = arctan(m) × (180 / π).

A horizontal line has a slope of 0 because Y₂ - Y₁ = 0. A vertical line has an undefined (infinite) slope because X₂ - X₁ = 0, causing division by zero.

Parallel lines have equal slopes (m₁ = m₂). Perpendicular lines have negative reciprocal slopes (m₁ × m₂ = -1), meaning m₂ = -1 / m₁.

In 3D space, spatial distance is d = √((X₂-X₁)² + (Y₂-Y₁)² + (Z₂-Z₁)²) and pitch angle is computed relative to the horizontal XY plane.