Which choice could be the equation of a line parallel to the line represented 3x-2y=6

In the form

ax+by=c

the slope is - a/b

to be paralell, itmust have the same slope

so an equation in the form 3x-2y=c is the answer

or anything where the whole thing is multiplied by the same number lke 2

6x-4y=8 for example

or it could be in slope inercept form

y=3/2x+b