The lines with the equations y=x/2+5 and x−2y=3 are parallel.
How to determine if the lines are parallel
From the question, we have the following parameters that can be used in our computation:
y = x/2 + 5
x = -2y + 3
To compare the slopes of the two lines, we can first rewrite them in slope-intercept form:
y = x/2+5
x - 2y = 3
2y = x - 3
y = x/2 - 3/2
So, the first line has a slope of 1/2 and a y-intercept of 5, and the second line has a slope of 1/2 and a y-intercept of -3/2.
Since the two lines have the same slopes, they are parallel.