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