Linear

Pronunciation: /ˈlɪn i ər/ Explain

Linear means having to do with a line. For example, a linear equation is an equation that makes a line when graphed.

Linear Objects
ObjectDescription
Linear equationAn equation that, when graphed, makes a line.
An equation that can be written in the form y = mx+b, or x = a.
For linear systems with more than two variables, an equation that can be written in the form y = a0 + a1x1 + a2x2 + a3x3 + ... + anxn
Linear functionA function where all the terms are first degree.
A function for which it is true that 1) f(x)+f(y) = f(x+y), and 2) f(αx) = αf(x).
Linear systemA set of linear equations that, when taken together are either all true or all false.
Linear algebraThe study of linear systems.
Linear regressionFitting a linear equation to a data set.
Table 1: Linear Objects

More Information

  • McAdams, David E.. Line. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 8/31/2018. http://www.allmathwords.org/en/l/line.html.
  • McAdams, David E.. Line. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem LLC. 8/31/2018. http://www.allmathwords.org/en/l/line.html.

Cite this article as:

McAdams, David E. Linear. 8/31/2018. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/l/linear.html.

Revision History

8/31/2018: Removed broken links, updated license, implemented new markup. (McAdams, David E.)
8/26/2008: Added 'More Information' and 'Linear Objects'. (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)

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