Functions Quick Check

4 of 54 of 5 Items

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

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

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

(0,−23)

1 answer

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

  1. For the pair \( (1, 4) \):

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

    • Substitute \( x = 3 \): \[ y = -23(3) + 6 = -69 + 6 = -63 \quad \text{(not 4)} \]
  3. For the pair \( (3, 8) \):

    • Substitute \( x = 3 \): \[ y = -23(3) + 6 = -69 + 6 = -63 \quad \text{(not 8)} \]
  4. For the pair \( (0, -23) \):

    • Substitute \( x = 0 \): \[ y = -23(0) + 6 = 0 + 6 = 6 \quad \text{(not -23)} \]

Since none of the pairs match the output of \( y \) for the corresponding \( x \) values, it appears none of the given ordered pairs are part of the relation \( y = -23x + 6 \).

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