Question

Which of the following ordered pairs is part of the solution set for the equation y=2.5x−2
?

Option #1: (−2,0)


Option #2: (2,5)


Option #3: (2,3)


(1 point)
Option #
is part of the solution set for the equation.

Answer 1

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.

1. **Option #1: (-2, 0)**
- Substitute \( x = -2 \):
\[
y = 2.5(-2) - 2 = -5 - 2 = -7
\]
- This does not match the y-value (0).

2. **Option #2: (2, 5)**
- Substitute \( x = 2 \):
\[
y = 2.5(2) - 2 = 5 - 2 = 3
\]
- This does not match the y-value (5).

3. **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.