Question

Which of the following is an ordered pair of the relation y=−23x+6 ?(1 point) Responses (0,−23) left parenthesis 0 comma negative Start Fraction 2 over 3 End Fraction right parenthesis (1,4) left parenthesis 1 comma 4 right parenthesis (3,4) left parenthesis 3 comma 4 right parenthesis (3,8)

Answer 1

To determine which of the given options is an ordered pair of the relation defined by the equation \( y = -23x + 6 \), we can substitute the \( x \)-values from each option into the equation and check if the corresponding \( y \)-value matches.

1. For \( (0, -23) \):
\[
y = -23(0) + 6 = 6 \quad \text{(not } -23\text{)}
\]

2. For \( \left(0, -\frac{2}{3}\right) \):
\[
y = -23(0) + 6 = 6 \quad \text{(not } -\frac{2}{3}\text{)}
\]

3. For \( (1, 4) \):
\[
y = -23(1) + 6 = -23 + 6 = -17 \quad \text{(not } 4\text{)}
\]

4. For \( (3, 4) \):
\[
y = -23(3) + 6 = -69 + 6 = -63 \quad \text{(not } 4\text{)}
\]

5. For \( (3, 8) \):
\[
y = -23(3) + 6 = -69 + 6 = -63 \quad \text{(not } 8\text{)}
\]

None of the ordered pairs listed satisfies the equation \( y = -23x + 6 \). Each substitution yields a different result for \( y \) than that provided in the ordered pairs.

Thus, none of the given options is an ordered pair of the relation \( y = -23x + 6 \).