Which of the following is an ordered pair of the relation
y = − 2/3x + 6?
A) (5, 0)
B) (0, 6)
C) (2, 3)
D) (6, -4)
To find the ordered pairs that satisfy the relation, we substitute the x-values into the equation and calculate the corresponding y-values.
A) (5, 0):
y = (-2/3)(5) + 6
y = -10/3 + 6
y = -10/3 + 18/3
y = 8/3
The ordered pair (5, 0) does not satisfy the equation.
B) (0, 6):
y = (-2/3)(0) + 6
y = 6
The ordered pair (0, 6) satisfies the equation.
C) (2, 3):
y = (-2/3)(2) + 6
y = -4/3 + 6
y = -4/3 + 18/3
y = 14/3
The ordered pair (2, 3) does not satisfy the equation.
D) (6, -4):
y = (-2/3)(6) + 6
y = -12/3 + 6
y = -12/3 + 18/3
y = 6/3 = 2
The ordered pair (6, -4) does not satisfy the equation.
The only ordered pair that satisfies the equation is (0, 6). Therefore, the answer is B) (0, 6).