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Answer:
y = -1/2 x + 1
Step-by-step explanation:
(-2, 2) and (4, -1) are points of the linear function, that will be described as:
y = ax + b
setting x=-2, y=2:
2 = -2a + b, so b = 2 + 2a
setting x=4, y=-1:
-1 = 4a + b ⇒ -1 = 4a + 2 + 2a ⇒ -3 = 6a ⇒ a = -1/2, b = 1
y = -1/2 x + 1