Determine all values of $h$ and $k$ for which the following system of equations is dependent.

$-4x-9y=h$

$12x+ky=6$

Possibilities:

$($a$)k=27$ and $h-2$

$($b$)k27$ and $h=-2$

$($c$)k27$ and $h-2$

$($d$)k=0$ and $h=0$

$($e$)k=27$ and $h=-2$