Answer
parallel
Work Step by Step
If two non-vertical and non-horizontal lines are parallel, then their slopes are equal.
If two non-vertical and non-horizontal lines are perpendicular, the product of their slopes is $-1$.
Here, for the first line:
$y=2x-3$
The slope $m$, in this form of the equation, is equal to the coefficient of $x$.
Hence, its slope is $2$.
For the second line:
$y=2x+4$
The slope of this line is also $2$.
Since the slopes are equal, then the two lines are parallel.