Standard form 1209669 225596647 2008-07-14T14:01:19Z Carbonrodney 554676 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>