Hexagon DEFGHI is translated on the coordinate plane below to create hexagon D'E'F'G'H'I': Which rule represents the translation of hexagon DEFGHI to hexagon D'E'F'G'H'I'?

(x, y)→(x − 8, y − 7)
(x, y)→(x − 7, x − 8)
(x, y)→(x − 4, x − 5)
(x, y)→(x − 5, y − 4)

(x, y)→(x − 8, y − 7)

Step-by-step explanation:

If we take the hexagon DEFGHI coordinates and apply the rule (x, y)→(x − 8, y − 7) we get:

D (2, 5) → (2 - 8, 5 - 7) = (-6, -2) which corresponds to point D'

E (5, 5) → (5 - 8, 5 - 7) = (-3, -2) which corresponds to point E'

F (6, 3) → (6 - 8, 3 - 7) = (-2, -4) which corresponds to point F'

G (5, 1) → (5 - 8, 1 - 7) = (-3, -6) which corresponds to point G'

H (2, 1) → (2 - 8, 1 - 7) = (-6, -6) which corresponds to point H'

I (1, 3) → (1 - 8, 3 - 7) = (-7, -4) which corresponds to point I'