How do i turn y=mx+b to Simple Form (Ax+By+C=0) examples please!!?

i have an exam and i need to know how to turn y=mx+b to Ax+By+C=0

How do i turn y=mx+b to Simple Form (Ax+By+C=0) examples please!!?
Consider an example. This illustrates the point better, because m and b may be fractions, whereas A, B and C need to be integers.





y = (2/3)x + (3/7)


Subtract y from each side, and turn the equation round:


(2/3)x - y + (3/7) = 0


To clear the fractions, multiply by the lowest common denominator of 2/3 and 3/7, which is 21:


14x - 21y + 9 = 0 ........(1)





To go the other way, starting from (1):


Add 21y to each side, and turn the equation round:


21y = 14x + 9


Divide by 21:


y = (14/21)x + (9/21)


Reduce fractions to lowest terms:


y = (2/3)x + (3/7).
Reply:for starters the equation of a line is y=mx+c please tell me your dropping maths very very soon
Reply:all you do is solve the equation to get Y isolated or get the "0" isolated to one side of the equation.





Example:





3x + 2y -6 = 0





solve for Y





put the six on the other side by adding six to both sides


3x + 2y = 6


put the term with the x on the other side by subtracting 3x from both sides


2y = -3x +6


divide both sides by 2 to isolate the Y


y = -3/2 x + 3