Question

in which ratio Y-axis divides the segment joining the points A (5, -6) and B (-1, -4) ​

Answer 1

Answer:Given points  

A

(

5

,

3

)

,

B

(

−

8

,

−

10

)

Y axis divides the givne line in the ratio

−

x

1

:

x

2

−

5

:

−

8

5

:

8

So the line is divided into  

5

:

8

by y axis

Step-by-step explanation:

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Answer 2

Answer

The y-axis divides $\overline{AB}$ in the ratio of 5:1.

Method

We add a new point $C$ on a plane and construct a right triangle. Two triangles are similar according to the AA postulate.

We can observe the ratio is $5:1$ because of the similarity.

More information

The construction of a right triangle is used to derive the distance formula.