Standard Form

"Standard form" is a general term used in mathematics to refer to a normalized form of an expression. The term "canonical form" is also used in certain contexts (for example, graphs).

The standard form of a line in the Cartesian plane is given by


for real numbers A,B,C in R.

This form can be derived from any of the other forms (point-slope form, slope-intercept form, etc.), but can be seen most intuitively when starting from intercept form. Indeed, the intercept form of a line with x-intercept (a,0) and y-intercept (0,b) is given by


and so clearing denominators to obtain


gives the line in standard form with A=b, B=a, and C=ab.

See also

Intercept Form, Line, Linear Equation, Point-Slope Form, Slope-Intercept Form, Two-Point Form

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Cite this as:

Weisstein, Eric W. "Standard Form." From MathWorld--A Wolfram Web Resource.

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