Which of the following is an ordered pair of the relation y=−2/3x+6? Responses (3,8) (3,4) (1,4) (0,−2/3)
The correct answer is (1,4).
To find out, we need to substitute the given x and y values into the equation y = -2/3x + 6 and see if they make a true statement:
For (3,8):
8 = -2/3(3) + 6
8 = -2 + 6
8 = 4
This is not a true statement, so (3,8) is not an ordered pair of the relation.
For (3,4):
4 = -2/3(3) + 6
4 = -2 + 6
4 = 4
This is a true statement, so (3,4) is an ordered pair of the relation.
For (1,4):
4 = -2/3(1) + 6
4 = 4 2/3
This is not a true statement, so (1,4) is not an ordered pair of the relation.
For (0, -2/3):
-2/3 = -2/3(0) + 6
-2/3 = 6
This is not a true statement, so (0, -2/3) is not an ordered pair of the relation.
Therefore, the only correct option is (3,4).