# Slope Calculator

> Calculate line slope from two points, or project a second point from a starting point, distance, and slope or angle.

Page: https://askcalculators.com/calculator/slope-calculator/
Definition: https://askcalculators.com/calculator/slope-calculator/definition.json
JSON Schema: https://askcalculators.com/calculator/slope-calculator/schema.json
Version: 2.0.0
Maintained by: AskCalculators (software project; not a credentialed reviewer)
Qualified review: pending. Automated checks do not establish professional approval.
Page status: Live
Review status: Pending

## Use
Open the calculator page and enter values. Query-string parameters can restore and bookmark a calculation.
Example: https://askcalculators.com/calculator/slope-calculator/?mode=two-points&x1=0&y1=0&x2=4&y2=8

## Inputs
- mode: Known values; type=select; required; default=two-points; values=two-points|point-slope|point-angle
- x1: x₁; type=number; required; default=0
- y1: y₁; type=number; required; default=0
- x2: x₂; type=number; required; default=4; showWhen=mode:two-points
- y2: y₂; type=number; required; default=8; showWhen=mode:two-points
- distance: Distance; type=number; required; default=5; min=0.000001; showWhen=mode:point-slope
- slopeInput: Slope (m); type=number; required; default=2; showWhen=mode:point-slope
- angleDistance: Distance; type=number; required; default=5; min=0.000001; showWhen=mode:point-angle
- angleInput: Angle of incline; type=number; required; default=45; showWhen=mode:point-angle

## Outputs
- slope: Slope (m); format=number; primary
- angle: Angle of incline; format=number
- distanceResult: Distance; format=number
- rise: Rise (Δy); format=number
- run: Run (Δx); format=number
- secondPoint: Second point; format=text
- equation: Line equation; format=text

## Formula
m=(y₂−y₁)/(x₂−x₁)=tan(θ); with distance d, Δx=d/√(1+m²) and Δy=mΔx.

## Rules
- Empty optional inputs are undefined, not zero.
- Hidden conditional inputs are ignored.
- Do not invent missing required inputs.