Which of the following is an ordered pair of the relation y=−2/3 x+6?(1 point)
Responses
(1,4)
left parenthesis 1 comma 4 right parenthesis
(0,−23)
left parenthesis 0 comma negative Start Fraction 2 over 3 End Fraction right parenthesis
(3,8)
left parenthesis 3 comma 8 right parenthesis
(3,4)
To determine which of the given options is an ordered pair that satisfies the equation y = -2/3 x + 6, we can substitute the x and y values into the equation and check if the equation holds true.
Let's check each option:
Option 1: (1, 4)
Substituting x = 1 and y = 4 into the equation:
4 = (-2/3)(1) + 6
4 = -2/3 + 6
4 = 18/3
This equation is not true, so option 1 is NOT an ordered pair of the relation y = -2/3 x + 6.
Option 2: (0, -23)
Substituting x = 0 and y = -23 into the equation:
-23 = (-2/3)(0) + 6
-23 = 6
This equation is not true, so option 2 is NOT an ordered pair of the relation y = -2/3 x + 6.
Option 3: (3, 8)
Substituting x = 3 and y = 8 into the equation:
8 = (-2/3)(3) + 6
8 = -6/3 + 6
8 = 0 + 6
8 = 6
This equation is not true, so option 3 is NOT an ordered pair of the relation y = -2/3 x + 6.
Option 4: (3, 4)
Substituting x = 3 and y = 4 into the equation:
4 = (-2/3)(3) + 6
4 = -6/3 + 6
4 = -2 + 6
4 = 4
This equation is true, so option 4 is indeed an ordered pair of the relation y = -2/3 x + 6.
Therefore, the correct answer is (3, 4).