# linear equation

### noun Mathematics.

a first-order equation involving two variables: its graph is a straight line in the Cartesian coordinate system.

any equation such that the sum of two solutions is a solution, and a constant multiple of a solution is a solution.

## RELATED CONTENT

Word Trends: Ninnyhammer, Cyclone, ScionSome words, such as affect, metaphor, and irony, hold relatively steady in lookups at Dictionary.com regardless of what’s happening in pop culture, politics, or social media. Other words shift wildly in rank and volume, often as a ripple effect of a news item or event that has piqued people’s curiosity—we call those trending words. Here are few of our favorite trending words from the week of March 12–18. …

## Nearby words

Compare linear operator.

## Origin of linear equation

First recorded in 1810–20

Dictionary.com Unabridged
Based on the Random House Unabridged Dictionary, © Random House, Inc. 2019

## British Dictionary definitions for linear equation

## linear equation

### noun

a polynomial equation of the first degree, such as x + y = 7

Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## Science definitions for linear equation

## linear equation

An algebraic equation, such as y = 4x + 3, in which the variables are of the first degree (that is, raised only to the first power). The graph of such an equation is a straight line.

The American Heritage® Science Dictionary
Copyright © 2011. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.