Given:
The line segment is passing through the points (-9,-3) and (8,5),
Divide the segment in the ratio of 1:4.
Use the formula,
[tex]\begin{gathered} (\frac{mx_2+nx_1}{m+n},\frac{my_2-ny_1}{m+n}) \\ (x_1,y_1)=(-9,-3) \\ (x_2,y_2)=(8,5) \\ m\colon n=1\colon4 \end{gathered}[/tex]
It gives,
[tex]\begin{gathered} (\frac{1(8)+4(-9)}{1+4},\frac{1(5)+4(-3)}{1+4}) \\ (-\frac{28}{5},-\frac{7}{5}) \end{gathered}[/tex]
Answer:
[tex](-\frac{28}{5},-\frac{7}{5})[/tex]
