Answer: The required outputs are
(a) (-2, 2) and (b) (7, -7).
Step-by-step explanation: Given that Spider man is planning his next movement. For each movement he uses the rule (x, y) ⇒ (x + 2, y - 4) to move to a new location.
(a) We are to find the output that the rule give when the input is (-4, 6).
Here, x = -4 and y = 6.
So, the output is given by
(-4, 6) ⇒ (-4 + 2, 6 - 4) = (-2, 2).
(b) We are to find the output that the rule give when the input is (5, -3).
Here, x = 5 and y = -3.
So, the output is given by
(5, -3) ⇒ (5 + 2, -3 - 4) = (7, -7).
Thus, the required outputs are
(a) (-2, 2) and (b) (7, -7).