Replace x and y in the transformation for the corresponding values of the first and second entries of the points d and e:
[tex](x,y)\rightarrow(x-3,y-4)[/tex]Then:
[tex]\begin{gathered} d(6,-3)\rightarrow d^{\prime}(6-3,-3-4)=d^{\prime}(3,-7) \\ e(8,-2)\rightarrow e^{\prime}(8-3,-2-4)=e^{\prime}(5,-6) \end{gathered}[/tex]Therefore, the coordinates after the transformation are: d'(3,-7) and e'(5,-6).