# 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 equation An 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 function A 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 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
1. McAdams, David E.. All Math Words Dictionary, linear. 2nd Classroom edition 20150108-4799968. pg 108. Life is a Story Problem LLC. January 8, 2015. Buy the book

• 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.

McAdams, David E. Linear. 4/24/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/l/linear.html.

### Revision History

4/24/2019: Changed equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)