Two points A and B have coordinates (-3, 2) and (9, 8) respectively.

i. Find the coordinates of C, the point where the line AB cuts the y-axis.

ii. Find the coordinates of D, the mid-point of AB.

iii. Find the equation of the perpendicular bisector of AB.

The perpendicular bisector of AB cuts the y-axis at the point E.

iv. Find the coordinates of E.

v. Show that the area of triangle ABE is four times the area of triangle ECD.