Answer
$x=-10+t \\ y=-20-2t$
Work Step by Step
The line passing through containing the point $P(p,q)$ with slope $m$ is expressed by the parametric equations as follows:
$x=p+t; y=q+mt$
Here, $t$ is any real number.
Now, the parametric equations for the given point are as follows:
$x=-10+t \\ y=-20+(-2)t$
Thus, we have
$x=-10+t \\ y=-20-2t$