Which of the following is an ordered pair of the relation y=−2 over 3x+6 ?(1 point)
Responses
(0,−23)
left parenthesis 0 comma negative Start Fraction 2 over 3 End Fraction right parenthesis
(3,8)
left parenthesis 3 comma 8 right parenthesis
(3,4)
left parenthesis 3 comma 4 right parenthesis
(1,4)
The given relation is y = -2/(3x+6).
To find the ordered pairs, we substitute the x-values in the equation and calculate the corresponding y-values.
For option (0,−23):
x = 0
y = -2/(3(0)+6) = -2/6 = -1/3
Since the calculated y-value does not match the given y-value, this option is not an ordered pair of the relation.
For option (3,8):
x = 3
y = -2/(3(3)+6) = -2/15
Since the calculated y-value does not match the given y-value, this option is not an ordered pair of the relation.
For option (3,4):
x = 3
y = -2/(3(3)+6) = -2/15
Since the calculated y-value does not match the given y-value, this option is not an ordered pair of the relation.
For option (1,4):
x = 1
y = -2/(3(1)+6) = -2/9
Since the calculated y-value matches the given y-value of 4, this option is an ordered pair of the relation.
Therefore, the correct answer is (1,4).