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Math Help - Lines

  1. #1
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    Lines

    Sorry to bother you guys >__<

    Find the following distances between the parallel lines

    3x+2y=12 and 3x+12y= -14


    The horizontal distance

    THe vertical distance

    The shortest distance


    I dunno how to find these distances


    OMG THANKS A MILLION! T___T I would've never survived w/o your help
    Last edited by charrie berri; August 3rd 2007 at 12:29 AM.
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  2. #2
    Senior Member tukeywilliams's Avatar
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    those are not parallel lines.
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  3. #3
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    Oops i meant 3x+2y= -14

    FIXED
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  4. #4
    Senior Member tukeywilliams's Avatar
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    Use the formula from the other post to compute the shortest distance (i.e perpendicular distance) or  d = \frac{|Am + Bn + C|}{\sqrt{A^2+B^2}} . To find the vertical distance, choose a point on each line that has the same x-coordinate (then use the formula  d = |y_2-y_1| ). Likewise, for the horizontal distance, choose a point on each line that has the same y-coordinate (then use the formula  d = |x_2-x_1|) . Really,  x = 0, \ y = 0 are the easiest choices.
    Attached Thumbnails Attached Thumbnails Lines-untitled.jpg  
    Last edited by tukeywilliams; August 3rd 2007 at 12:57 AM.
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