Question

Clear selection
Find the ratio in which the y axis divides the line segment joining the points (5.-6) and (-1.-4)
Also find point of inter section
ratio 5.1 and points(13/3,0)
O
ratio 1:5 and points (-13/5,0)
O
ratio 5.1 and points (0,-13/3)
Oratio 1:5 and points (0,13/5)
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Answer 1

Answer:

Let the y-axis divides the line segment joining points (5,-6) and (-1,-4) in ratio k:1 and point of intersection (0,y)

Using Section formula,

( \frac{ - 1k + 5}{k + 1} coma  \frac{ - 4k + ( - 6)}{k + 1} ) = (0 \: coma \: y)

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

-k+5 =0

k = 5

Hence the y-axis divides the line segment joining points (5,-6) and (-1,-4) in ratio 5:1

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

y = (-20-6)/(5+1)

y = -26/6

y = -13/3

Hence point of intersection is (0, -13/3)

hope it helps

Step-by-step explanation: