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Math Help - Finding the equation of a line

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    Finding the equation of a line

    write the equation of a line that is parallel to 3y+2x=12 and whose y-intercept is 2.
    Last edited by mr fantastic; February 12th 2010 at 01:44 PM. Reason: Changed post title
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    Quote Originally Posted by blame_canada100 View Post
    write the equation of a line that is parallel to 3y+2x=12 and whose y-intercept is 2.
    1. The equation of a straight line is y = mx+c where m is the gradient and c the y intercept

    2. If a line is parallel the gradients must be equal.

    ---------------------------

    Use the two points above to answer the question

    Spoiler:
    y = -\frac{2x}{3} + 2
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  3. #3
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    Quote Originally Posted by blame_canada100 View Post
    write the equation of a line that is parallel to 3y+2x=12 and whose y-intercept is 2.
    The given line has a gradient of - \frac{2}{3} and this will also be the gradient of the required line. Furthermore, you're given the y-intercept of the required line. Now recall that the equation of a line can be written y = mx + c ....
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  4. #4
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    Here is a quick fix for this problem.
    Any line parallel to 2x+3y=12 has the form 2x+3y=C.
    Just determine C so that the point (0,2) is on that line.
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