Answer:

5:1

Step-by-step explanation:

given ,

x1=5 ,y1=-6

x2=-1 ,y2=-4

solution:

as we know that ,

The points makes on y axis is (0,y).

let the ratio be m :n

so,

the coordinates of y axis =

mx2+nx1/m+n ,my2+ny1/m+n

[tex] 0 \: and \: y= \frac{m \times - 1 + n \times 5}{m + n} and \: \frac{m \times - 4 + n \times - 6}{m + n} \\ 0 = \frac{ - m + 5n}{m + n} \: and \: y = \frac{ - 4m - 6n}{m + n} [/tex]

case 1,

(m+n)0 =-m+5n

0 = -m +5n

m =5n

m/n=5

m:n=5:1

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