Let the line \( L \) pass through \( (1, 1, 1) \) and intersect the lines \( \dfrac{x-1}{2} = \dfrac{y+1}{3} = \dfrac{z-1}{4} \) and \( \dfrac{x-3}{1} = \dfrac{y-4}{2} = \dfrac{z}{1} \). Then, which of the following points lies on the line \( L \)?
\( (10, -29, -50) \)
\( (5, 4, 3) \)
\( (4, 22, 7) \)
\( (7, 15, 13) \)
