Answer
1) $x=t; y=-2t+4,-\infty\lt t\lt \infty$
2) $x=t+1; y=-2t+2,-\infty\lt t\lt \infty$
Work Step by Step
We are given the rectangular equation:
$y=-2x+4$
One set of parametric equations is:
$\begin{cases}
x=t\\
y=-2t+4
\end{cases}$
with $-\infty\lt t\lt \infty$
Another set of parametric equations is:
$\begin{cases}
x=t+1\\
y=-2t+2
\end{cases}$
with $-\infty\lt t\lt \infty$
