On a farmland grid, the corner of a barn is at B(1,5) and a water well is at W(9,−3). A farmer wants to place a scarecrow S so that:
(i) S lies on the dirt path represented by x=y, and
(ii) S divides the line segment BW internally in the ratio 1:3 starting from B towards W.
Which of the following are the coordinates of S?
a) (4,4)
b) (5,1)
c) (3,3)
d) (6,6)