Answer:
(13, -3).
Step-by-step explanation:
Expression representing transformation has been given as,
[tex]r_{y-z}oT_{4,-5}[/tex]
First apply the rule → [tex]T_{4,-5}[/tex]
Translation of the point by 4 units along the x-axis and 5 units downwards along the y-axis,
(x, y) → (x + 4, y - 5)
(-1, -8) → (-1 + 4, -8 - 5)
→ (3, -13)
Now apply the rule of reflection over the line y = -x to the image point (3, -13),
(x, y) → (-y, -x)
(3, -13) → (13, -3)
Therefore, answer will be (13, -3).
