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Given:

Endpoints of a line segment EF are E(-3,8) and F(7,-7).

Point  P divides the segment EF such that EP:PF = 2:3.

To find:

The coordinates of the point P.

Solution:

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

It is given that EP:PF = 2:3. It means the point P divides the segment EF in 2:3.

Using section formula, we get

Therefore, the coordinates of the point P are (1,2).