Question

find the ratio in which the y-axis divides the line segment joining the point (5,-6)and (-1,-4) also find the point of intersection​

Answer 1

Answer:

Ratio is 5:1

Point of intersection is (0,-13/3)

Explanation:

Let the point of intersection be X(0,y) since the value of abscissa or x on y-axis is zero.

Let the ratio by which y-axis divide the line be K:1

From Section Formula

(0,y) = {(-k+5)/k+1, (-4k-6)/k+1}

(-k+5)/k+1 =0

-k+5 = 0

k=5

y = (-4k-6)/k+1

y=(-26/6)

y=-13/3

Hence the ratio will be 5:1 and point of intersection is (0,-13/3)