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

we know that on y axis x coordinate is 0

so let point of division be (0 , y)

x = mx2 + nx1/m + n {section formula}

0 = m * -1 + n * 5/m + n

0 = -m + 5n

m= 5n

m/n = 5/1

ratio is 5/1

y = my2 + ny1/m+n

y = 5 * -4 + 1 * -6 / 5+1

y = -26/6

point is ( 0 , -26/6)