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Question 34437: how do you write the equation of a line in standard form with a slope of 3 and ay intercept of 2
Answer by dimndskier(8)   (Show Source):
You can put this solution on YOUR website! OK, consider the equation 
You substitute the slope give in for m. and subsitute the y-intercept in for b.
However, I believe standard form is  .
Essentially in order to do this take it from the form of y=mx+b and multiply everything by the denominator of the slope, and finally get everything on one side of the equation setting it equal to zero.
For an example:
Let's say we have a slope of 3/2 and a y-intercept of 2, then we should end up with:
 , and  , therefore we end up with the slope-intercept equation of:
 to convert this to standard form, mulitply everything by 2 (because that is the denominator of 3/2 ).
So we get  , resulting in
 ,but we still have to get everything on ONE side of the equal sign, BUT a special rule you must not... the coefficient A... MUST ALWAYS be positive, never negative so you have to make the appropriate adjustments.
So, my suggestion in this example is- since 3x is already positive (the 3 is positive) bring the 2y to the right side of the equation (leaving zero in its place).
 , resulting in
 , but rearrange with zero on the right side!
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