To determine which point is a solution to the equation \( y = 2x - 5 \), we can substitute the \( x \) value of each point into the equation and see if the resulting \( y \) value matches the \( y \) value of that point.
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For point A (4, 2): \[ y = 2(4) - 5 = 8 - 5 = 3 \quad (\text{not } 2) \]
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For point B (2, 0): \[ y = 2(2) - 5 = 4 - 5 = -1 \quad (\text{not } 0) \]
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For point C (1, -3): \[ y = 2(1) - 5 = 2 - 5 = -3 \quad (\text{is } -3) \]
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For point D (-1, -5): \[ y = 2(-1) - 5 = -2 - 5 = -7 \quad (\text{not } -5) \]
The only point that satisfies the equation is point C (1, -3).
So, the solution is C. (1, -3).