Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag

Mathematics-Online lexicon:

linear function

A B C D E F G H I J K L M N O P Q R S T U V W X Y Z overview

The graph of a linear function

$\displaystyle f(x) = ax+b

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


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.
[Examples] [Links]

  automatically generated 4/ 8/2008