Let $L$ be the line $y = -\left(6x+6\right)$ in $\mathbb{R}^2$. Find vectors $\vec{a}$ and $\vec{b}$ so that $\vec{v} = \vec{a} + t \vec{b}$ is a parametric equation for $L$.

$\vec{v} =$ $\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.$.