Standard Form -- from Wolfram MathWorld

"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 .

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 and y-intercept is given by

and so clearing denominators to obtain

gives the line in standard form with , , and .

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. https://mathworld.wolfram.com/StandardForm.html

Subject classifications

• Geometry
• Line Geometry
• Lines

• MathWorld Contributors
• Stover