Answer:
(10, - 1 )
Explanation:
A translation of 5 units right means + 5 to the x- coordinate.
A translation of 2 units down means subtract 2 from the y- coordinate.
(x, y ) → (x + 5, y - 2 ) ← translation rule, thus
(5, 1 ) → (5 + 5, 1 - 2 ) → (10, - 1 )