---
tag: 0DQEHHVRBX
kind: concept
name: Slope field
msc: [34A26]
sources:
  - url: https://en.wikipedia.org/wiki/Slope_field
    locator: lead section
same_as:
  wikidata: Q2336508
  wikipedia: Slope field
---

## Summary

The slope field of a first-order equation $y' = f(x, y)$ is a picture with a short segment of slope $f(x, y)$ at many points $(x, y)$ of the plane.
The graphs of the solutions are tangent to these segments. See the [[definition|0RKQQQACY7]].