Question

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)

Answer 1

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).