Which of the following is an ordered pair of the relation y=−23x+6

?(1 point)
Responses

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

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

(1,4)
left parenthesis 1 comma 4 right parenthesis

(0,−23)
pick one

1 answer

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

  1. For \( (3, 8) \): \[ y = -23(3) + 6 = -69 + 6 = -63 \] (not equal to 8)

  2. For \( (3, 4) \): \[ y = -23(3) + 6 = -69 + 6 = -63 \] (not equal to 4)

  3. For \( (1, 4) \): \[ y = -23(1) + 6 = -23 + 6 = -17 \] (not equal to 4)

  4. For \( (0, -23) \): \[ y = -23(0) + 6 = 0 + 6 = 6 \] (not equal to -23)

None of the given pairs correspond to \( y = -23x + 6 \). Please check the initial conditions or different potential pairs if you're looking for a pair that satisfies the equation.