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Mathematics-Online lexicon:

linear function

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The graph of a linear function

$\displaystyle f(x) = ax+b $

is a straight line with slope $ a$ and $ y$ -intercept $ b$ .

\includegraphics{lineare_funktion}

Alternative representations are the point-slope form

$\displaystyle \frac{y-y_0}{x-x_0} = a $

and the two-point form

$\displaystyle \frac{y-y_0}{x-x_0} = \frac{y_1-y_0}{x_1-x_0}\,, $

where $ (x_0,y_0)$ and $ (x_1,y_1)$ are points on the straight line.
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  automatically generated 4/ 8/2008