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