Question

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

(1,4)
left parenthesis 1 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

(3,4)

Answer 1

To determine which of the provided ordered pairs is part of the relation \( y = -23x + 6 \), we can substitute the x-values from each ordered pair into the equation and see if the resulting y-value matches the y-value in the ordered pair.

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

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

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

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

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

So to summarize:

- \( (1, 4) \): y is not 4 (y = -17).
- \( (3, 8) \): y is not 8 (y = -63).
- \( (0, -23) \): y is not -23 (y = 6).
- \( (3, 4) \): y is not 4 (y = -63).

Thus, **none of the options listed are ordered pairs of the relation**.