Standard form
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Reverted 1 edit by [[Special:Contributions/68.192.36.192|68.192.36.192]] identified as [[WP:VAND|vandalism]] to last revision by [[User:99.243.41.143|99.243.41.143]]. ([[WP:TW|TW]])
{{Mergeto|canonical form|date=August 2007}}
:''In [[British English]], '''standard form''' is the more common name for [[scientific notation]].''
'''Standard forms''' in [[mathematics]] assist people in identifying types of [[equations]].
Examples of standard forms in [[geometry]] include:
*The equation of a line: <math>Ax + By = C\,</math>
**A>0
**A, B, and C are not rational nonintegers.
*The equation of a circle: <math>(x + k)^2 + (y + h)^2 = r^2\,</math>
By contrast, there are alternative forms for writing equations. For example, the equation of a line may be written as a [[linear equation]] in point-slope and slope-intercept form.
Standard form is used by many mathematicians and scientists to write extremely [[large numbers]] in a more concise and understandable way.
== Slope-Intercept Form to Standard Form ==
Slope intercept form is in the form <math>y = a+y2x2x+h\,</math>
When converting to standard form it is important that A and B are both whole numbers.
For example:
To convert <math> y = (3/4)x + 3\,</math> to standard form first rewrite the equation to get:
<math> (-3/4)x + y = 3\,</math>
"A" is now a fraction so we must multiply both sides of the equation by the denominator of A:
<math> -4((-3/4)x + y) = -4(3)\,</math>
To get:
<math>3x - 4y = -12\,</math>