The equation of line L1 is y=3x-5. The equation of line L2 is 2y-6x+5=0. Show that these two lines are parallel.

To answer this question, you should make use of the general equation of a straight line: y=mx+c.For two lines to be parallel, they must have the same gradient (i.e. the same coefficient of x- which in the case of the general equation of the straight line is denoted as 'm').Therefore, rearranging L2 into the standard equation of a line gives 2y=6x-5By dividing both sides by 2, this can then be written as y=3x-5/2. Given that the coefficient of x for both L1 and L2 is 3, the gradients are indeed the same and hence they are parallel.