(i) Let the required ratio be m1 : m2
Consider A(-4, 6) = (x1, y1); B(8, −3) = (x2 , y2) and let
P(x, y) be the point of intersection of the line segment and the y-axis
By section formula, we have,
(iii) The length of AB = distance between two points A and B.
The distance between two given points
A(x1 , y1) and B (x2 , y2) is given by,