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, (x1, y1) and (x2, y2) are the coordinates of points A and B respectively.


So,


Coordinates of P




So,


P divides AB in 2:1

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