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A linear function of x is a function of the form y = ax + b, where a and b are constants.  It's called a "linear" function because a plot of the x and y coordinates for which this equation is true takes the shape of a straight line.

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More about the pages of information about linear functions and linear equations.

Patterns -- given a table of x and y values that are linearly related, how can you spot the formula that relates them?
Linear Regression -- how to calculate the linear regression as a descriptive statistic

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The webmaster and author of this Math Help site is Graeme McRae.