Question

Which of the following is an ordered pair of the relation
y=-2/3+6

(3,4)
(3,8)
(0,-2/3)
(1,4)

Answer 1

To find which of the given options is an ordered pair of the relation, we need to substitute the x-value into the equation and see if it results in the corresponding y-value.

For option (3,4):
When x = 3,
y = -2/3(3) + 6
y = -2 + 6
y = 4

4 is the correct corresponding y-value for x = 3, so (3,4) is an ordered pair of the relation.

For option (3,8):
When x = 3,
y = -2/3(3) + 6
y = -2 + 6
y = 4

8 is not the correct corresponding y-value for x = 3, so (3,8) is not an ordered pair of the relation.

For option (0, -2/3):
When x = 0,
y = -2/3(0) + 6
y = 0 + 6
y = 6

-2/3 is not the correct corresponding y-value for x = 0, so (0, -2/3) is not an ordered pair of the relation.

For option (1,4):
When x = 1,
y = -2/3(1) + 6
y = -2/3 + 6
y ≈ 5.67

4 is not the correct corresponding y-value for x = 1, so (1,4) is not an ordered pair of the relation.

Therefore, the only ordered pair that is part of the relation is (3,4).