# Linear Function

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Definition
 Linear function A function $f\,$ defined for all real $x\,$ by a formula of the form $f(x)=ax+b\,$ It's called a linear function because its graph is a straight line. The number $b\,$ is called the y-intercept of the line; it is the y-coordinate $(0,b)\,$ where the line cuts the y-axis. The number $a\,$ is called the slope of the line.

## Examples

$\text{Linear function }\,$$f(x)=3x-5\,$
$n\,$ $f(n)\,$
$-5\,$ $-20\,$
$-4\,$ $-17\,$
$-3\,$ $-14\,$
$-2\,$ $-11\,$
$-1\,$ $-8\,$
$0\,$ $-5\,$
$1\,$ $-2\,$
$2\,$ $1\,$
$3\,$ $4\,$
$4\,$ $7\,$
$5\,$ $10\,$