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Write an equation of the line parallel to the line given by 3x-2y=8 and having the same y- intercept as the line given by 2y+3x=-4

  • math -

    3x-2y=8
    2 y = 3 x - 8
    y = (1.5 ) x - 4
    slope = m = 1.5

    so the line we want is of form
    y = 1.5 x + b

    then
    3 x + 2 y = -4
    when x = 0, y = -2

    so
    b = -2
    and our result is
    y = 1.5 x - 2
    or
    2 y = 3 x - 4

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