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 option into the equation and see if the resulting \( y \) value matches the \( y \) value given in the ordered pair.
Option #1: \((-2, 0)\)
Substitute \( x = -2 \):
\[
y = 2.5(-2) - 2 = -5 - 2 = -7
\]
This does not match \( y = 0 \). So, \((-2, 0)\) is not a solution.
Option #2: \((2, 5)\)
Substitute \( x = 2 \):
\[
y = 2.5(2) - 2 = 5 - 2 = 3
\]
This does not match \( y = 5 \). So, \((2, 5)\) is not a solution.
Option #3: \((2, 3)\)
Substitute \( x = 2 \):
\[
y = 2.5(2) - 2 = 5 - 2 = 3
\]
This matches \( y = 3 \). So, \((2, 3)\) is a solution.
Therefore, the correct option is Option #3: (2, 3).
1 answer