I like the wood colored Cartesian plane.
Parallel lines have the same slope and the constant is set by the particular point the parallel passes through.
So our equation is
![y = - \frac 1 3 x + b](https://img.qammunity.org/2019/formulas/mathematics/middle-school/qrksmc82gje3jrg44bd0p1jfgzb2uagja4.png)
and we solve for b by plugging in (0,-2). So b=-2, the given y intercept.
![y = - \frac 1 3 x - 2](https://img.qammunity.org/2019/formulas/mathematics/middle-school/lhm43koyn9f33lqxmnswtb205g5re4nw3k.png)
Choice D