Answer:
(a) When the input is (6, -15), the output is (1, -2).
(b) When the input is (-3, -2), the output is (-8, 11).
Explanation:
To find the output when the input is (6, -15), we can apply the given rule: (x, y) → (x-5, y+13).
For the x-coordinate, we substitute x = 6 into the rule:
x' = 6 - 5 = 1
For the y-coordinate, we substitute y = -15 into the rule:
y' = -15 + 13 = -2
Therefore, the output when the input is (6, -15) is (1, -2).
(b) Similarly, to find the output when the input is (-3, -2), we apply the rule: (x, y) → (x-5, y+13).
For the x-coordinate, we substitute x = -3 into the rule:
x' = -3 - 5 = -8
For the y-coordinate, we substitute y = -2 into the rule:
y' = -2 + 13 = 11
Therefore, the output when the input is (-3, -2) is (-8, 11).
In summary:
(a) When the input is (6, -15), the output is (1, -2).
(b) When the input is (-3, -2), the output is (-8, 11).