Answer
The lines are parallel.
Work Step by Step
RECALL"
(i) Two lines are parallel if they have (a) equal slopes or (b) undefined slopes.
(ii) Two lines are perpendicular if they have (a) slopes whose product is $-1$ or (b) if one has a zero slope and the other has an undefined slope.
(iii) The slope-intercept form of a line's equation is $y=mx+b$ where m = slope and b=y-intercept.
Write both equations in slope-intercept form to have:
Equation 1:
$y=2x+3$
Equation 2:
$2y=4x+5
\\y=\frac{4x+5}{2}
\\y=2x+2.5$
The two equations have equal slopes (which is 2) therefore they are parallel.
