Answer
parallel
Work Step by Step
Using $y=mx+b$ where $m$ is the slope, the slope of the first equation,
\begin{array}{l}\require{cancel}
2x+y=3
\\\\
y=-2x+3
\end{array}
is $m_1=
-2
.$
Using $y=mx+b$ where $m$ is the slope, the slope of the second equation,
\begin{array}{l}\require{cancel}
y=4-2x
\\\\
y=-2x+4
\end{array}
is $m_2=
-2
.$
Since $m_1=m_2,$ then the given lines are $\text{
parallel
.}$