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B Line equations inquiry

  1. Aug 22, 2016 #1
    Say a line equation is expressed with the General equation of Ax + By + C = 0; can one just simply rearrage this into the form of y= mx + b?
  2. jcsd
  3. Aug 22, 2016 #2


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    Science Advisor
    Gold Member

    What ways of rearranging Ax + By + C = 0 into the form y= mx + b have you tried ?
  4. Aug 22, 2016 #3
    I just made y the subject so that
    Y= (-a/-b)x + (-c/-b); this may not be correct, I've just done it now
  5. Aug 22, 2016 #4


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    Staff: Mentor

    You can simplify the expression.
    It doesn't work if b=0.

    You can always perform all allowed operations on equations.
  6. Aug 22, 2016 #5


    Staff: Mentor

    Vertical lines such as x = 2 are special cases of the general equation (A = 1, B = 0, C = -2), but can't be written in the slope-intercept form, since the slope is undefined. Any other line that isn't vertical can be written in either equation form.
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