3.3.4 Line and plane in space

Problem: Write the canonical and parametric equations of the given line, as well as the equation of the plane in "segments" perpendicular to the given line and passing through the point \( M_{0}\left(x_{0}: y_{0} ; z_{0}\right) \). Construct a plane. \[ L:\left\{\begin{array}{c} 6 x-7 y-4 z-2=0 \\ x+7 y-z-5=0 \end{array} \quad M_{0}(5 ; 9 ; 1) .\right. \]