Which of the following is an ordered pair of the relation y = 2/3x - 5? explain.
A. (6, -1)
B. (-3, 7)
C. (9, 2)
D. (3, 3)
To determine which of the given options is an ordered pair of the relation y = 2/3x - 5, we need to substitute the x-values given in each option into the equation and check if the resulting y-value matches the y-value in the ordered pair.
A. For option A: (6, -1)
When x = 6:
y = 2/3 * 6 - 5
y = 4 - 5
y = -1
Therefore, option A is an ordered pair of the relation as the calculated y-value (-1) matches with the given y-value in the ordered pair.
B. For option B: (-3, 7)
When x = -3:
y = 2/3 * (-3) - 5
y = -2 - 5
y = -7
The calculated y-value (-7) does not match the given y-value (7) in the ordered pair. Therefore, option B is not an ordered pair of the relation.
C. For option C: (9, 2)
When x = 9:
y = 2/3 * 9 - 5
y = 6 - 5
y = 1
The calculated y-value (1) does not match the given y-value (2) in the ordered pair. Therefore, option C is not an ordered pair of the relation.
D. For option D: (3, 3)
When x = 3:
y = 2/3 * 3 - 5
y = 2 - 5
y = -3
The calculated y-value (-3) does not match the given y-value (3) in the ordered pair. Therefore, option D is not an ordered pair of the relation.
Therefore, the only ordered pair that is part of the relation y = 2/3x - 5 is option A: (6, -1).