Solution:
Coordinates of Point E and F are (-2,4) and (5,10).
Suppose the Point M(x,y), divides the Line Segment Joining E (-2,4) and F (5,10) in the 7:3 ratio.
So, EM: MF= 7:3
Formula for internal Division
[tex]x=\frac{mx_{2}+nx_{1}}{m+n}, y=\frac{my_{2}+ny_{1}}{m+n}[/tex]
[tex]x=\frac{3 \times (-2) +7 \times 5}{3 +7},\\\\ x=\frac{-6 +35}{10}\\\\x=\frac{29}{10}\\\\ y =\frac{3 \times 4 +7 \times 10}{3+7}\\\\ y=\frac{12+70}{10}\\\\ y=\frac{82}{10}[/tex]
So,we get
x= 2.9
and , y= 8.2
