Which of the following is an ordered pair of the relation? y = -2/3x + 6?
A) (3, 4)
B) (1, 4)
C) (3, 8)
D) (0, -2/3)
To determine if an ordered pair is part of the relation y = -2/3x + 6, plug in the x-value into the equation and see if the resulting y-value matches.
Let's go through each ordered pair:
A) (3, 4)
y = -2/3(3) + 6
y = -2 + 6
y = 4
Since the resulting y-value is 4, (3, 4) is a correct ordered pair.
B) (1, 4)
y = -2/3(1) + 6
y = -2/3 + 6
y = 5 1/3
Since the resulting y-value is not 4, (1, 4) is not a correct ordered pair.
C) (3, 8)
y = -2/3(3) + 6
y = -2 + 6
y = 4
Since the resulting y-value is 8, (3, 8) is not a correct ordered pair.
D) (0, -2/3)
y = -2/3(0) + 6
y = 6
Since the resulting y-value is not -2/3, (0, -2/3) is not a correct ordered pair.
Therefore, the correct answer is A) (3, 4).