Question

which of the following is an ordered pair of the relation y=−23x+6 A. (0, 2/3) B. (3,8). C. (3,4). D.(1,4)

Answer 1

To determine which of the options is an ordered pair of the relation \( y = -23x + 6 \), we can substitute the x-coordinate from each option into the equation and see if it results in the y-coordinate.

1. **Option A: (0, 2/3)**
- Substitute \( x = 0 \):
\[
y = -23(0) + 6 = 6
\]
\((0, 2/3)\) is not valid because \( 2/3 \neq 6 \).

2. **Option B: (3, 8)**
- Substitute \( x = 3 \):
\[
y = -23(3) + 6 = -69 + 6 = -63
\]
\((3, 8)\) is not valid because \( 8 \neq -63 \).

3. **Option C: (3, 4)**
- Substitute \( x = 3 \):
\[
y = -23(3) + 6 = -69 + 6 = -63
\]
\((3, 4)\) is not valid because \( 4 \neq -63 \).

4. **Option D: (1, 4)**
- Substitute \( x = 1 \):
\[
y = -23(1) + 6 = -23 + 6 = -17
\]
\((1, 4)\) is not valid because \( 4 \neq -17 \).

None of the given ordered pairs satisfy the relation \( y = -23x + 6 \).