Point p(x,y) divides the line segment joining the points a(2,-5) and B (5,2) in the ratio 2:3 find the coordinates of p

Point p(x,y) divides the line segment joining the points a(2,-5) and B (5,2) in the ratio 2:3 find the coordinates of p

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  1. Answer:

    We can use the section formula:

    [tex]r = \frac{mr_{2} + nr_{1} }{m+n}[/tex]

    Given m:n = 2:3

    So P(x) = (2 x 5 + 3 x 2)/(2+3) = 16/5

    P(y) = (2 x 2 + 3 x -5)/(2+3) = -11/5

    Coordinates of point P are : (16/5, -11/5)

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