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Home Real and Hyperreal Numbers Straight Lines Definition: Linear Function
 
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Definition: Linear Function

We now describe the functions whose graphs are nonvertical lines.

DEFINITION

A linear function is a function f of the form

f(x) = mx + b,

where m and b are constants.

The graph of a linear function is just the line with slope-intercept equation

y = mx + b.

This is the line through (0, b) with slope m.

If two points on a line are known, the slope can be found as follows.
Home Real and Hyperreal Numbers Straight Lines Definition: Linear Function

Last Update: 2006-11-15