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Math Help - Are these lines parallel?

  1. #1
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    Are these lines parallel?

    1.) y=1/6x+8
    -2x+12y =-11

    2.)y = 5x + 6
    -18x + 3y = 54

    Could someone show me how to do these problems? I keep asking people t oshow me how, but none of them do. They just tell me the answer, I want to know how to do the problems step by step, because I will be taking a test with similar problems soon.
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  2. #2
    MHF Contributor Amer's Avatar
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    Quote Originally Posted by aquamistique View Post
    1.) y=1/6x+8
    -2x+12y =-11

    2.)y = 5x + 6
    -18x + 3y = –54

    Could someone show me how to do these problems? I keep asking people t oshow me how, but none of them do. They just tell me the answer, I want to know how to do the problems step by step, because I will be taking a test with similar problems soon.
    when two lines parallel that means their slopes are equal

    y = 1/6 x +8
    -2x+12y=-11

    dy/dx = 1/6

    12y = 2x -11
    dy/dx = 2/12 = 1/6

    first two pairs are parallel to each other since their slopes same for all x values
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