Question

In what ratio does the y axis divide the line segment joining the point (5,-6) and (-1,-4)

Answer 1

the y axis divides the segment in the ratio of 5:1

Answer 2

The ratio of division would be 5:1.
Since the point lies on y-axis, the abscissa would be 0. Let the ratio of division be k:1. Then, by section formula:
0=k(-1)+1(5)/k+1
-k+5=0
k=5
Therefore, ratio of division=5:1