Question

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


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Answer 1

It on y axis therefore the coordinates are ( x, 0) - let one coordinate be x
let the ratio be k:1

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Answer 2

Answer:  The required ratio is 3 : 1.

Step-by-step explanation:  We are given to find the ratio in which the line segment joining the points (-3, -4) and (1, -2) is divided by y axis.

Let m : n be the required ratio.

The point that divides the line segment joining the points (-3, -4) and (1, -2) is written as (0, t).

We know that

the co-ordinates of he point that divides the line joining the points (a, b) and (c, d) in the ratio m : n are given by

$\left(\dfrac{mc+na}{m+n},\dfrac{md+nb}{m+n}\right).$

Therefore, according to the given information, we have

$\dfrac{1\times m+(-3)\times n}{m+n}=0\\\\\Rightarrow m-3n=0\\\\\Rightarrow m=3n\\\\\Rightarrow \dfrac{m}{n}=\dfrac{3}{1}\\\\\Rightarrow m:n=3:1.$

Thus, the required ratio is 3 : 1.