The equation of Line 1 is y=2x-2 and the equation of Line 2 is 2y-4x+5=0. Prove that these 2 lines are parallel to each other.

In order for 2 lines to be parallel, they must have the same gradient. As such, the first thing we should do is rearrange these equations in the form of y=mx+c, where m is the gradient and c is the y-intercept.Line 1 is already in the form of y=mx+c and so we can leave this for the time being. Rearranging Line 2 we get: 2y=4x-5. We can then divide both sides by 2 to get the equation y=2x-2.5.We can now see that both Line 1 and 2 have a gradient of 2, and so they must be parallel to each other.