$(a)$ Find parametric equations for the line through $(3,5,8)$ that $is$ perpendicular $to$ the plane $x-y+4z=1t.(x(t),y(t),z(t))=(,)$

$(b)In$ what points does this line intersect the coordinate planes?

$xy-$plane

$yz-$plane

$xz-$plane $,(x,y,z)=(,)$