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Ω Nookey™
Lv 7
Ω Nookey™ asked in Science & MathematicsMathematics · 1 decade ago

If kx = 4y+5 and (2k+2)x = 7-6y are parallel, find k?

Thanks in advance

2 Answers

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  • ?
    Lv 6
    1 decade ago
    Favorite Answer

    k = -4/7

    kx = 4y + 5

    kx - 5 = 4y

    y = kx/4 - 5/4 ; so the slope of this line is k/4

    and

    (2k+2)x = 7-6y

    6y = -(2k+2)x + 7

    y = -(k+1)x/3 + 7/6 ; the slope of this line is -(k+1)/3

    If the two lines are parallel, then their slopes are the same.

    This means that:

    k/4 = -(k+1)/3

    3k = -4(k+1) = -4k - 4

    7k = -4

    k = -4/7

  • Anonymous
    1 decade ago

    the first line has slope k/4 and the second line has slope (k+1)/-3. If the lines are parallel, then k/4=(k+1)/-3, so if you cross multiply and solve for k you get k=-4/7

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