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A given linear function <math>f(x)</math> can be written in several standard formulas displaying its various properties. The simplest is the ''slope-intercept form'':
:<math>f(x)= ax+b</math>,
from which one can immediately see the slope ''a'' and the initial value <math>f(0)=b</math>, which is the ''y''-intercept of the graph <math>y=
Given a slope ''a'' and one known value <math>f(x_0)=y_0</math>, we write the ''point-slope form'':
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