Tuesday, July 14, 2009

How do i change y-intercept form (y=mx+b) into standard form (Ax+By=C)?

Transpose the "mx" term to the left side to get:


-mx + y = b


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The details:





Usually they don't allow negatives in front, so just multiply everything by -1 if m is negative.





mx - y = -b





Also, if you have any fractional coefficients, they need to be gotten rid of by multiplication of the GCD of the fractions (but you probably won't ever have to deal with problems with more than one fraction).


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Example: y = 3x +6 becomes


-3x + y = 6 and then


3x - y = -6





Example: y = (2/3)x -3


-(2/3)x + y = -3


(2/3)x - y = 3


2x -3y = 9 %26lt;--------------Multiply every term by 3

How do i change y-intercept form (y=mx+b) into standard form (Ax+By=C)?
I might be wrong but wouldn't you change it to the pont slope form which would be y - y1=M(x-x1) ??
Reply:this formula: -a/b+c/b





example:y=2(5)+4


2=a


5=b


4=c





-2/5+4/5








just plug in the numbers than simplify


hope this helped some, coverting things are pretty tricky
Reply:Just transpose mx to the left hand side to get





y -mx = b





this is in the form Ax + By = C


where A =-m


B = 1 and


C =b
Reply:Subtract the b and add subtract the y to isolate the b on one side. After that, adjust the equation so that it has Ax before the By. The c is b


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