# Which equation represents a line that is parallel to the line y=3- 2x?

$y = k - 2 x$, where $k \ne 3$.
A line parallel to $a x + b y + c = 0$ is of the type $a x + b y + k = 0$, where $k \ne c$. Note this means that only constant term changes. Note that in such cases slopes of both are same i.e. $- \frac{a}{b}$.
Hence equation of a line parallel to $y = 3 - 2 x$ is $y = k - 2 x$, where $k \ne 3$.
Note: A line pperpendicular to $a x + b y + c = 0$ is of the type $b x - a y + k = 0$. Note this means that coefficients of $x$ and $y$ are interchanged and relatively their sign changes. Note that in such cases slopes of both are $- \frac{a}{b}$ and $\frac{b}{a}$ and their product is $- 1$.