Solution:
Given:
The point C is (-1,7) and the point D is (5,1).
To point that partitions CD in the ratio 3:1 is gotten using the formula;
where;
[tex]\begin{gathered} a=3,b=1 \\ x_1=-1,y_1=7 \\ x_2=5,y_2=1 \end{gathered}[/tex]
Substituting these values into the equation;
[tex]\begin{gathered} (x,y)=(\frac{1(-1)+3(5)}{1+3},\frac{1(7)+3(1)}{1+3}) \\ (x,y)=(\frac{-1+15}{4},\frac{7+3}{4}) \\ (x,y)=(\frac{14}{4},\frac{10}{4}) \\ (x,y)=(3.5,2.5) \end{gathered}[/tex]
Therefore, the point that partitions the line segment CD in the ratio 3:1 is (3.5,2.5)
