Answer :

The required line is shown below:

Using the section formula,

Coordinates of P which divides AB having points A(x1, y1) and B(x2, y2) in, say k:1, are given by:

According to our question,

For, A(2, 3) and B(6, –3), let the ratio be k: 1,

We get:

Equating the coefficients we get,

⇒ 6k + 2 = 4k + 4
⇒ 2k = 2
⇒ k = 1
and also,

Putting the value of k, we get

⇒ m = 0
The ratio is 1:1 and the value of m is 0.

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