Which of the following is an ordered pair of the relation
y = − 2/3x + 6?
A. (0, −2/3)
B. (1, 4)
C. (3, 8)
D. (3, 4)
To find the ordered pair of a relation, we substitute the values of x and y into the given equation and see if they satisfy it.
Let's try each option:
A. (0, −2/3)
Substituting x = 0 and y = -2/3 into the equation: -2/3(0) + 6 = -2/3 ≠ -2/3
The ordered pair (0, -2/3) does not satisfy the equation.
B. (1, 4)
Substituting x = 1 and y = 4 into the equation: -2/3(1) + 6 = 4
The ordered pair (1, 4) satisfies the equation.
C. (3, 8)
Substituting x = 3 and y = 8 into the equation: -2/3(3) + 6 = 8/3 ≠ 8
The ordered pair (3, 8) does not satisfy the equation.
D. (3, 4)
Substituting x = 3 and y = 4 into the equation: -2/3(3) + 6 = 4
The ordered pair (3, 4) satisfies the equation.
Therefore, the ordered pair of the relation y = − 2/3x + 6 is (3, 4).
The correct answer is D. (3, 4).