Find the geometric interpretation of general solution Here are the linear equation:
$$2x+z=0$$
$$-x+3y+z=0$$
$$-x+y+z=0$$
I have found that the general solution is,
$$t
        \begin{bmatrix}
        \frac{-1}2\\
        \frac{-1}2 \\
        1 \\
        \end{bmatrix}
$$
The question asks me to find the geometric interpretation of general solution.
But I have no idea how. I think my limit knowledge of geometric interpretation is not helping me, so some explanation about geometric interpretation would help me a lot.
Thanks you for any help! 

What you have is the parametric equation for a line. Do you see why?
