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

Question

?(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 $(1,4)$: $$y=-23(1)+6=-23+6=-17(\text{not }4)$$

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

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

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

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.