The points A(−8,6) and B(4,−10) are the endpoints of a line segment. A point T divides AB internally and is known to lie on the y-axis.
(i) Determine, in the simplest integer form, the ratio in which T divides AB.
(ii) Find the coordinates of the point T.
(iii) Verify your answer by showing that the ratio of the lengths AT:TB equals the ratio obtained in part (i).