Question

Question
Which of the following is an ordered pair of the relation y=−23x+6
?(1 point)
Responses

(3,4)
left parenthesis 3 comma 4 right parenthesis

(3,8)
left parenthesis 3 comma 8 right parenthesis

(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
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Answer 1

To determine which of the given points is an ordered pair of the relation \( y = -23x + 6 \), we need to substitute the \( x \) values from each pair into the equation and check if the resulting \( y \) value matches the \( y \) in the ordered pair.

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

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

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

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

None of the points satisfy the equation \( y = -23x + 6 \).

Thus, there is **no correct ordered pair** from the choices provided that satisfies the relation.