Answer
The graphs of the two equations are parallel lines.
Work Step by Step
RECALL:
(1) In the slope-intercept form of a line's equation, $y=mx+b$, $m$=slope and $b$ is the y-coordinate of the y-intercept.
(2) Parallel lines have equal or the same slope.
Write both equations in slope-intercept form to obtain:
First Equation:
$y=2x-1$
Second Equation:
$2y-4x=7
\\2y-4x+4x=7+4x
\\2y=4x+7
\\\frac{2y}{2}=\frac{4x+7}{2}
\\y=2x+\frac{7}{2}$
Note that both equations have the same slope $m=2$ .
Since they have the same slope, then their graphs are parallel lines.