The given coordinates in the question are
[tex]\begin{gathered} A=(-8,-2)\text{ = x1=-8, y1=-2} \\ B=(6,19)\text{ = x}2=6,y2=19 \end{gathered}[/tex]
Let the coordinate at R be
[tex]R=(x,y)[/tex]
The ratio of the line segment given is
[tex]AR\colon RB=2\colon5\text{ (m=2,n=5)}[/tex]
The formula to calculate the coordinate of a line segment in a given ratio is given below as
[tex](x,y)=(\frac{mx_2+nx_1}{m+n}),(\frac{my_2+ny_1}{m+n})[/tex][tex]undefined[/tex]
