To determine which of the given ordered pairs is a solution to the equation \(3x - 8 = -4y\), we need to substitute the \(x\) and \(y\) values from each ordered pair into the equation and check if the equation holds true.
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For the ordered pair \((-1, 1)\): \[ 3(-1) - 8 = -4(1) \ -3 - 8 = -4 \ -11 \neq -4 \quad \text{(not a solution)} \]
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For the ordered pair \((0, -2)\): \[ 3(0) - 8 = -4(-2) \ -8 = 8 \quad \text{(not a solution)} \]
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For the ordered pair \((1, 1)\): \[ 3(1) - 8 = -4(1) \ 3 - 8 = -4 \ -5 \neq -4 \quad \text{(not a solution)} \]
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For the ordered pair \((0, 2)\): \[ 3(0) - 8 = -4(2) \ -8 = -8 \quad \text{(this is a solution)} \]
The only ordered pair that is a solution to the equation \(3x - 8 = -4y\) is \((0, 2)\).