Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio. A(-6, 9), B(2, 1); Ratio 5 to 3

Given:

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1).

To find:

The coordinates of point P.

Solution:

Section formula: If a point divide a line segment in m:n, then the coordinates of point are

Point P divides the line segment AB in 5:3 where A(-6,9) and B(2,1). Using section formula, we get

Therefore, the coordinates of point P are (-1,4).

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