To determine which ordered pair is 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 we obtain the corresponding \( y \) values.
-
For \( A. (2, 5) \):
- Substitute \( x = 2 \): \[ y = 2.5(2) - 2 = 5 - 2 = 3 \]
- The ordered pair (2, 5) is not a solution because the calculated \( y \) value is 3, not 5.
-
For \( B. (-2, 0) \):
- Substitute \( x = -2 \): \[ y = 2.5(-2) - 2 = -5 - 2 = -7 \]
- The ordered pair (-2, 0) is not a solution because the calculated \( y \) value is -7, not 0.
-
For \( C. (2, 3) \):
- Substitute \( x = 2 \): \[ y = 2.5(2) - 2 = 5 - 2 = 3 \]
- The ordered pair (2, 3) is a solution because the calculated \( y \) value is 3, which matches the given \( y \) value.
Based on the calculations, the ordered pair that is part of the solution set for the equation \( y = 2.5x - 2 \) is C. (2, 3).