Which of the following is an ordered pair of the relation y = -2/3x + 6?
A: (3,8)
B: (0,-2/3)
C: (3,4)
D: (1,4)
To determine if an ordered pair is part of the relation y = -2/3x + 6, we substitute the x-value into the equation and check if it equals the corresponding y-value.
A: (3,8)
y = (-2/3)(3) + 6
y = -2 + 6
y = 4
Therefore, (3,8) is not part of the relation.
B: (0,-2/3)
y = (-2/3)(0) + 6
y = 6
Therefore, (0,-2/3) is not part of the relation.
C: (3,4)
y = (-2/3)(3) + 6
y = -2 + 6
y = 4
Therefore, (3,4) is part of the relation.
D: (1,4)
y = (-2/3)(1) + 6
y = -2/3 + 6
Therefore, (1,4) is not part of the relation.
Therefore, the ordered pair of the relation y = -2/3x + 6 is C: (3,4).