This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
y = -9x
Sindura, let's knock this out.
Step 1: Examine the given input values () and their corresponding output values (). We have the following pairs: • When , • When , • When ,
Step 2: Look for a consistent mathematical operation that transforms each input value into its respective output value. Let's test multiplication: • For the first pair: . • For the second pair: . • For the third pair: .
Step 3: Confirm that the operation is consistent across all pairs. The operation of multiplying the input value by consistently produces the given output values.
Step 4: State the rule or relationship. The rule is that the output value () is equal to the input value () multiplied by .
The rule or relationship is: The final answer is .
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Sindura, let's knock this out. Step 1: Examine the given input values (x) and their corresponding output values (y).
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.