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Find the value of k if the lines y = 1/3x + 4 and kx - 2y + 1 = 0 are perpendicular.?

Please show work :)

2 Answers

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  • 1 decade ago
    Favorite Answer

    1st line is y= 1/3 x + 4

    Slope 1/3

    2nd line must have slope -3

    kx-2y+1=0

    kx+1=2y

    y= kx/2 + 1/2

    k/2= -3

    k= -6

  • cidyah
    Lv 7
    1 decade ago

    Slope of line 1 = 1/3

    -2y=-kx-1

    2y=kx+1

    y=(k/2)x +1/2

    slope of line 2 =k/2

    If they are perpendicular, the product of their slopes is -1.

    (1/3)(k/2)=-1

    k=-6

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