so reemember that if 2 lines are paralell, they never intersect ad therefor have nosolution intersection
so 2 lines that are paralel have the same slope lets say slope=3 y=mx+b y=3x+b change b so it is different y=3x+7 y=3x+5 if we graphed those we get 2 paralel lines, then we made the 7 one greaer