Linear Function

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What Does Linear Function Mean?

A linear function is a mathematical expression which, when graphed, will form a straight line. A linear function is a simple function usually composed of constants and simple variables without exponents as in the example, y = mx + b.

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This type of function is popular in economics because of its simplicity and ease in handling.

Techopedia Explains Linear Function

A linear function is literally a formula for a straight line when solved and all the variables are replaced with constants. The base equation of a linear function is y = mx + b where:

  • “y” is the dependent variable; usually the one we are solving for so it is located to the left of the equal sign
  • “x” is the independent which we manipulate to get different result of y
  • “m” is the coefficient of the independent variable which determines the rate of change of “y”·
  • “b” is the constant term or the y intercept

In a linear equation, if you increment the independent variable and plot the points on a graph, you get a straight line.

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Margaret Rouse
Technology Specialist
Margaret Rouse
Technology Specialist

Margaret is an award-winning writer and educator known for her ability to explain complex technical topics to a non-technical business audience. Over the past twenty years, her IT definitions have been published by Que in an encyclopedia of technology terms and cited in articles in the New York Times, Time Magazine, USA Today, ZDNet, PC Magazine, and Discovery Magazine. She joined Techopedia in 2011. Margaret’s idea of ​​a fun day is to help IT and business professionals to learn to speak each other’s highly specialized languages.