Find the vector equation of a line $L$ going through the point $P= (-4,1)$ and parallel to the line generated by multiples of the vector $v=\left[\begin{array}{c} -3\cr 3 \end{array}\right]$.

$L(t) =$ $\left[\Rule{0pt}{2.4em}{0pt}\right.$$\left]\Rule{0pt}{2.4em}{0pt}\right.$ $+ t$ $\left[\Rule{0pt}{2.4em}{0pt}\right.$$\left]\Rule{0pt}{2.4em}{0pt}\right.$.