Consider the points A(1,2) and B(5,−2). A line L passes through the point C(3,4) and is parallel to the line joining A and B.
a. (i) Find the equation of the line AB.
b. (ii) Determine the equation of the line L.
c. (iii) Line L meets the y-axis at D. Find the coordinates of D.
d. (iv) Calculate the length of the segment CD.