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Math Help - parallel coordinate plane

  1. #1
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    Talking parallel coordinate plane

    What positive value of k would make the lines below parallel in the coordinate plane?
    9x+ky=16
    kx+4y=11

    This problem is for extra points.
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  2. #2
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    Quote Originally Posted by Schatzle06 View Post
    What positive value of k would make the lines below parallel in the coordinate plane?
    9x+ky=16
    kx+4y=11

    This problem is for extra points.
    ( k \not = 0)

    Express these in slope intercept form,
    ky=-9x+16
    y=-\frac{9}{k}+\frac{16}{k}

    And,
    4y=-kx+11
    y=-\frac{k}{4}x+\frac{11}{4}

    Two (non horizontal non vertical) lines are parralel if and only if there slopes are equal,
    -\frac{k}{4}=-\frac{9}{k}
    Remove the negative from both sides and cross multiply,
    k^2=36
    k=\pm 6
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