Answer:
The required coordinates are [tex](\frac{7}{5},\frac{39}{5})[/tex].
Step-by-step explanation:
Let the new point be P.
If a point divide a line in m:n, then the coordinates of point are
[tex](\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})[/tex]
If is given that Point E is located at (−1, 6) and point F is located at (3, 9). Point P divides the line in 3:2. The coordinates of P are
[tex]P=(\frac{3(3)+2(-1)}{3+2},\frac{3(9)+2(6)}{3+2})[/tex]
[tex]P=(\frac{7}{5},\frac{39}{5})[/tex]
Therefore the required coordinates are [tex](\frac{7}{5},\frac{39}{5})[/tex].
