Answer:
Image point → (13, -3)
Explanation:
Rule for the translation of a point (x, y) by shifting 'a' units right and 'b' units down is,
(x, y) → (x + a, y - b)
If a point (-1, -8) has been translated by 4 units right and 5 units down,
(-1, -8) → (-1 + 4, -8 - 5)
→ (3, -13)
Followed by reflection across a line y = -x.
Rule for the reflection of a point (x, y) about a y = -x is,
(x, y) → (-y, -x)
Therefore, reflection of the point (3, -13) will produce an image point as,
(3, -13) → (13, -3)
Hence, image point by the transformations given will be (13, -3).