Which of the following is an ordered pair of the relation y=−2/3x+6 A(3,4) B(1,4) C(0,-2/3) D(3,8)
To determine which of the options is an ordered pair of the given relation, we can substitute the x-coordinate into the equation and see if it gives us the corresponding y-coordinate.
For option A, when we substitute x = 3 into the equation y = -2/3x + 6, we get:
y = -2/3(3) + 6
y = -2 + 6
y = 4
The y-coordinate is correct, so A(3,4) is an ordered pair of the relation.
For option B, when we substitute x = 1 into the equation y = -2/3x + 6, we get:
y = -2/3(1) + 6
y = -2/3 + 6
y = 5 1/3
The y-coordinate is not equal to 4, so B(1,4) is not an ordered pair of the relation.
For option C, when we substitute x = 0 into the equation y = -2/3x + 6, we get:
y = -2/3(0) + 6
y = 0 + 6
y = 6
The y-coordinate is not equal to -2/3, so C(0,-2/3) is not an ordered pair of the relation.
For option D, when we substitute x = 3 into the equation y = -2/3x + 6, we get:
y = -2/3(3) + 6
y = -2 + 6
y = 4
The y-coordinate is correct, so D(3,8) is not an ordered pair of the relation.
Therefore, the only ordered pair of the relation y = -2/3x + 6 is A(3,4).