Question 247167
In order for two lines be parallel, they must have the same slope.
If we convert all equations to this pattern: y=mx+b, m would be our slope.
So, let's compare them:


y=x+13 ... its slope is 1


2y=6x-3
y=3x-(3/2) ... its slope is 3


Since the slopes are different, we know they are not parallel.
Below is how the lines would look like in the cartesian plane.
The red line represents {{{x+13}}}
The green line represents {{{3x-(3/2)}}}


{{{graph (500, 500, -50, 50, -50, 50, x+13, 3x-(3/2))}}}