In what ratio is the line joining (2,-4) and (-3, 6) divided by the y-axis ?

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Solution

Let the line divided by y axis in ratio
a:1

so
as we know on y axis
x coordinate =0

So by section formula

$0 equals fraction numerator negative 3 a plus 2 over denominator a plus 1 end fraction a equals 2 over 3 h e n c e space w e space c a n space s a y space t h e space y space a x i s space d i v i d e s space t h e space l i n e space i n space r a t i o space 2 colon 3$

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The line segment joining the points $(- 3, - 4)$ and $(1, - 2)$ is divided by y-axis in the ratio

(- 3, 6)

(12, - 3)

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