To point C, we have to use the following formulas
[tex]\begin{gathered} x=\frac{a}{a+b}(x_2-x_1)+x_1 \\ y=\frac{a}{a+b}(y_2-y_1)+y_1 \end{gathered}[/tex]
Where a = 1 and b = 3.
[tex]\begin{gathered} x=\frac{1}{1+3}(12-(-9))-9=\frac{1}{4}(12+9)-9=\frac{1}{4}(21)-9=5.25-9 \\ x=-3.75 \end{gathered}[/tex][tex]y=\frac{1}{1+3}(8-2)+2=\frac{1}{4}(6)+2=1.5+2=3.5[/tex]
Hence, point C is (-3.75, 3.5).
