To determine which ordered pair is part of the solution set for the equation \( y = 2.5x - 2 \), we can substitute the x-value from each ordered pair into the equation and see if the resulting y-value matches the y-value from the ordered pair.
Option #1: (−2,0)
- Substitute \( x = -2 \):
\[ y = 2.5(-2) - 2 = -5 - 2 = -7 \] The ordered pair is (−2, 0), and since \( 0 \neq -7 \), this pair is not a solution.
Option #2: (2,5)
- Substitute \( x = 2 \):
\[ y = 2.5(2) - 2 = 5 - 2 = 3 \] The ordered pair is (2, 5), and since \( 5 \neq 3 \), this pair is not a solution.
Option #3: (2,3)
- Substitute \( x = 2 \):
\[ y = 2.5(2) - 2 = 5 - 2 = 3 \] The ordered pair is (2, 3), and since \( 3 = 3 \), this pair is indeed a solution.
Based on the evaluations, the ordered pair that is part of the solution set for the equation \( y = 2.5x - 2 \) is:
Option #3: (2, 3).
1 answer