Which of the following is an ordered pair of the relation
y = − 2/3x + 6?
A. (0, −23)
B. (1, 4)
C. (3, 8)
D. (3, 4)
We can substitute the x-coordinate into the equation to find the corresponding y-coordinate for each option.
For option A, when x = 0, y = -2/3(0) + 6 = 6. Since the y-coordinate does not match, option A is not an ordered pair of the relation.
For option B, when x = 1, y = -2/3(1) + 6 = 4. Since the y-coordinate matches, (1, 4) is an ordered pair of the relation.
For option C, when x = 3, y = -2/3(3) + 6 = 4.5 + 6 = 10.5. Since the y-coordinate does not match, option C is not an ordered pair of the relation.
For option D, when x = 3, y = -2/3(3) + 6 = 4.5 + 6 = 10.5. Since the y-coordinate does not match, option D is not an ordered pair of the relation.
Therefore, the ordered pair of the relation y = −2/3x + 6 is (1, 4).
The answer is B. (1, 4)