Find the ratio in which y-axis divides the line segment joining the points A(5, -6), and B (-1, -4). Also find the coordinates of the point of division.

Something like this

Step-by-step explanation:

distance √(-1 - 5)² + (-6 - -4)² = √36 + 4 = √40 = 6.32

slope = 2/-6 = -1/3

distance (-1,-4) to (0, -4.63)

√(-1 - 0)² + (-4 - -4.63...)² = √1.4 = 1.18

6.32 - 1.18 = 5.14

1.18 : 5.14

ratio 5:1

coordinates (0,-13/3)

Step-by-step explanation:

let any point on y-axis  (0,y)  divides the join of A(5,-6) and B(-1,-4) in the ratio k:1

so coordinates of point of intersection are (0,-13/3)

d≈7.07in

step-by-step explanation: