As per given by the question,
There are given that the coordinates of the image is
[tex]k(-8,\text{ 7)}[/tex]
Where, x=-8 and y=7 like, k(x, y).
Now,
There are also given that the coordinates after translation.
[tex](x,y)\rightarrow(x-10,\text{ y-2)}[/tex]
then,
Put x =-8 and y= 7 into the above coordinates instead of x and y.
So,
[tex]\begin{gathered} (x,y)\rightarrow(x-10,\text{ y-2)} \\ (-8,7)\rightarrow(-8-10,\text{ 7-2)} \\ (-8,7)\rightarrow(-18,\text{ 5)} \end{gathered}[/tex]
The coordinates after translation is (-18, 5).
Hence, the option A is correct.
