To solve the exercise, the first thing you can do is graph the given points, like this
you can see that point A has the transformation
[tex]\begin{gathered} A(1,9)\rightarrow(4,10)=(1+3,9,1) \\ \text{ That is} \\ (x,y)\rightarrow(x+3,y+1) \end{gathered}[/tex]Therefore, the coordinates of the images of the point (-9, -2) under the same translation will be (-6,-1)
[tex]C(-9,-2)\rightarrow(-9+3,-2+1)=(-6,-1)[/tex]
