2. We are given four points P = (1, 1), Q=(3,0), R=(3, 2), and S= (1,4). (a) Find parallel lines L and L so that two of the above points are on L, and the other two points are on L2, or explain why this is impossible. (b) Find perpendicular lines L and L so that two of the above points are on L and the other two points are on L2, or explain why this is impossible.