# Definitions for slope fieldslope field

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1. slope fieldnoun

A field of plotted slopes of a differentiable function.

### WikipediaRate this definition:0.0 / 0 votes

1. Slope field

Slope fields (also called direction fields) are a graphical representation of the solutions to a first-order differential equation of a scalar function. Solutions to a slope field are functions drawn as solid curves. A slope field shows the slope of a differential equation at certain vertical and horizontal intervals on the x-y plane, and can be used to determine the approximate tangent slope at a point on a curve, where the curve is some solution to the differential equation.

### FreebaseRate this definition:5.0 / 1 vote

1. Slope field

In mathematics, a slope field is a graphical representation of the solutions of a first-order differential equation. It is useful because it can be created without solving the differential equation analytically. The representation may be used to qualitatively visualize solutions, or to numerically approximate them.

### Numerology

1. Chaldean Numerology

The numerical value of slope field in Chaldean Numerology is: 2

2. Pythagorean Numerology

The numerical value of slope field in Pythagorean Numerology is: 4

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"slope field." Definitions.net. STANDS4 LLC, 2023. Web. 31 May 2023. <https://www.definitions.net/definition/slope+field>.

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