The line through the points $(5,1,a)\:\:and\:\:(3,b,1)$ crosses $yz$ plane at the point $(0,\large\frac{17}{2},-\frac{13}{2})$, then $(a,b)=?$

Question

$\begin{array}{1 1}(a)\:\:(8,2)\\ (b)\:\:(2,8) \\ (c)\:\:(4,6) \\ (d)\:\:(6,4) \end{array}$