Linear

Pronunciation: /ˈlɪn i ər/ ?

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

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

linear. http://wordnet.princeton.edu/. WordNet. Princeton University. (Accessed: 2011-01-08). http://wordnetweb.princeton.edu/perl/webwn?s=linear&sub=Search+WordNet&o2=&o0=1&o7=&o5=&o1=1&o6=&o4=&o3=&h=.

McAdams, David. Line. allmathwords.org. All Math Words Encyclopedia. Life is a Story Problem.org. 2009-03-12. http://www.allmathwords.org/article.aspx?lang=en&id=Line.

Linear. 2008-08-26. All Math Words Encyclopedia. Life is a Story Problem.org. http://www.allmathwords.org/en/l/linear.html.

All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem.org and are licensed under the Creative Commons Attribution-Noncommercial-Share Alike 3.0 License.

2008-08-26: Added 'More Information' and 'Linear Objects' (McAdams, David.)
2007-07-12: Initial version (McAdams, David.)

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