# Find the coordina

Given: line segment A ( –2,5) and B(3, –5)

To find: the coordinates of the point P which divides the line segment AB into the ratio 2:3.

Explanation: Given P divides the line segment AB into 2:3 ratio, let point P be denoted as P(x,y)

By section formula which states that if a point P(x,y) divides the line with endpoints A(x1,y1) and B(x2,y2) in the ration m:n, the coordinates of x and y are:

In this case, m1 = 2, m2 = 3

And x1 = – 2, x2 = 3, y1 = 5 and y2 = – 5

Substituting the above values in section formula, we get

Hence the coordinates of P are (0, 1).

So, the coordinates of the point P which divides the line segment AB into the ratio 2:3 are 0 and 1.

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