To determine which solution satisfies the equation \(1.5x - 2y = 8\), we can substitute each given point into the equation and check if the equation holds true.
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For A. \((-4, 7)\): \[ 1.5(-4) - 2(7) = -6 - 14 = -20 \quad (\text{not } 8) \]
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For B. \((4, -7)\): \[ 1.5(4) - 2(-7) = 6 + 14 = 20 \quad (\text{not } 8) \]
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For C. \((-4, -7)\): \[ 1.5(-4) - 2(-7) = -6 + 14 = 8 \quad (\text{correct}) \]
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For D. \((4, 7)\): \[ 1.5(4) - 2(7) = 6 - 14 = -8 \quad (\text{not } 8) \]
The correct solution that satisfies the equation \(1.5x - 2y = 8\) is C. \((-4, -7)\).