The given points are A(2,1) and P(3,3), where B is between A and P.
To find the x-coordinate of B, we use the following formula
[tex]x=\frac{a}{a+b}(x_2-x_1)+x_1[/tex]Where a=1 and b=4, using the given coordinates, we have
[tex]x=\frac{1}{1+4}(3-2)+2=\frac{1}{5}(1)+2=\frac{1}{5}+2=\frac{2+10}{5}=\frac{12}{5}[/tex]To find the y-coordinate of B, we use the following formula
[tex]y=\frac{a}{a+b}(y_2-y_1)+y_1[/tex]Replacing all values, we have
[tex]y=\frac{1}{1+4}(3-1)+1=\frac{1}{5}(2)+1=\frac{2}{5}+1=\frac{2+5}{5}=\frac{7}{5}[/tex]