Answer :

We know that any point on y axis is in the form (0, x) where x is any real number, let y axis intersect the line segment AB at point P with coordinates (0, c)

And we have

Coordinates of A = (– 3, 2)

Coordinates of B = (6, 1)

Let P divides AB in K:1

Now, By using section formula i.e.

The coordinates of Point P which divides line AB in a ration m : n is

Where, (x_{1}, y_{1}) and (x_{2}, y_{2}) are the coordinates of points A and B respectively.

So,

Coordinates of P

So,

P divides AB in 2:1

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