To determine which ordered pairs are part of the solution set for the equation \( y = 2.5x - 2 \), we can substitute the x-values from each ordered pair into the equation and see if the resulting y-value matches.
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Option #1: (-2, 0)
- Substitute \( x = -2 \): \[ y = 2.5(-2) - 2 = -5 - 2 = -7 \]
- This does not match the y-value (0).
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Option #2: (2, 5)
- Substitute \( x = 2 \): \[ y = 2.5(2) - 2 = 5 - 2 = 3 \]
- This does not match the y-value (5).
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Option #3: (2, 3)
- Substitute \( x = 2 \): \[ y = 2.5(2) - 2 = 5 - 2 = 3 \]
- This matches the y-value (3).
Thus, Option #3: (2, 3) is part of the solution set for the equation.