We are given the following point:
[tex]P=(-2,-4)[/tex]
The given transformation is the following:
[tex](x^{\prime},y^{\prime})=(x-4,y-3)[/tex]
Replacing the values:
[tex]\begin{gathered} P^{\prime}=(-2-4,-4-3) \\ P^{\prime}=(-6,-7) \end{gathered}[/tex]
Therefore, the image is (-6,-7)
