To begin with,for every line ax+by+c=0 the gradient is m=(-a)/b.From theory, it is known that two lines are parallel only if their gradients are equal. For line 1: y=3x-2, it implies that 3x-y-2=0(we just subtract the y into the opposite part).This means that line 1 gradient is equal to m1=-(3)/(-1) => m1=3.For line 2 : 3y-9x+5=0 the gradient m2=-(-9)/3 =>m2=3 .Since m1 is equal to m2 ,then the 2 lines are parallel.