For two parallel lines slopes, could one of them be a reduced version of the other.

for example would y=1/2x+6 be parallel to y=2/4x+12

don't pay any mind to the y-intercepts, I just randomly pulled them out of my head. I just want to know if lines can be parallel if the slope is a simplified version of the other.

Thank you!

yes ... if the slopes are equivalent, the lines are parallel