which of the following ordered pair of the relation y = -2/3x + 6?
(1,4)
(3,4)
(0, - 2/3)
(3,8)
To find the ordered pairs that satisfy the relation y = -2/3x + 6, we substitute the x-values of each ordered pair given and see if the resulting y-value matches.
Let's check each option:
Option 1: (1, 4)
Substituting x = 1 into the equation, we have y = -2/3(1) + 6 = 4. This matched the given y-value, so (1, 4) is a solution.
Option 2: (3, 4)
Substituting x = 3 into the equation, we have y = -2/3(3) + 6 = 4. This matched the given y-value, so (3, 4) is a solution.
Option 3: (0, -2/3)
Substituting x = 0 into the equation, we have y = -2/3(0) + 6 = 6. This does not match the given y-value of -2/3, so (0, -2/3) is not a solution.
Option 4: (3, 8)
Substituting x = 3 into the equation, we have y = -2/3(3) + 6 = 4. This does not match the given y-value of 8, so (3, 8) is not a solution.
Therefore, the ordered pairs that are solutions to the relation y = -2/3x + 6 are (1, 4) and (3, 4).