Question

y-axis divides the join of P(-4,2) and Q(8,3) in the ratio ???

Answer 1

Answer:

let ratio is k:1 and

y - axis divides then X is 0,

we apply section formula on x-axis then we get ,

8k-4=0 ,

then k is 1:2

Answer 2

HeYa❤️...

Answer:

Let the ratio of division = k : 1

Now,

$x = \frac{k(x2) + 1(x1)}{k + 1} \\ \\ 0 = \frac{k(8) + 1( - 4)}{k + 1} \: \: \: \: \: \: \: (x = 0) \\ \\ 0 = 8k - 4 \\ \\ k = \frac{1}{2}$

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Then,

$y = \frac{k(y2) + 1(y1)}{k + 1} \\ \\ y = \frac{k(3) + 1(2)}{k + 1} \\ \\ y = \frac{ \frac{1}{2} \times 3 + 2}{ \frac{1}{2} + 1} \\ \\ y = \frac{7}{3}$

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Hence,

The point divides the line segment in the ratio of 1/2 : 1

And the value of y is 7/3.

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