Question

which of the following is an ordered pair of the relation y = - 2/3x + 6

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

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

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

(0,−23)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if each pair is an ordered pair of the given relation, we substitute the x-coordinate of the ordered pair into the equation and check if the resulting y-coordinate matches the given y-coordinate.

For (3, 8):
Substituting x = 3 into the equation, we have:
y = -2/3(3) + 6
y = -2 + 6
y = 4
The resulting y-coordinate matches the given y-coordinate of 8.

For (1, 4):
Substituting x = 1 into the equation, we have:
y = -2/3(1) + 6
y = -2/3 + 6
y ≈ 5.3333
The resulting y-coordinate does not match the given y-coordinate of 4.

For (3, 4):
Substituting x = 3 into the equation, we have:
y = -2/3(3) + 6
y = -2 + 6
y = 4
The resulting y-coordinate matches the given y-coordinate of 4.

For (0, −23):
Substituting x = 0 into the equation, we have:
y = -2/3(0) + 6
y = 0 + 6
y = 6
The resulting y-coordinate does not match the given y-coordinate of -23.

Therefore, the pairs (3, 8) and (3, 4) are both ordered pairs of the given relation y = -2/3x + 6.