which of the following is an ordered pair of the relation y= -2/3x+6
We need to substitute the given values of x and y into the equation and see if they satisfy the equation.
Let's check each option:
A) (3,-4)
Substituting x = 3 and y = -4 into the equation:
-4 = (-2/3)(3) + 6
-4 = -2 + 6
-4 = 4 - INCORRECT
B) (2,4)
Substituting x = 2 and y = 4 into the equation:
4 = (-2/3)(2) + 6
4 = -4/3 + 6
4 = 18/3 - 4/3
4 = 14/3 - INCORRECT
C) (0,6)
Substituting x = 0 and y = 6 into the equation:
6 = (-2/3)(0) + 6
6 = 6 - CORRECT
D) (-3,2)
Substituting x = -3 and y = 2 into the equation:
2 = (-2/3)(-3) + 6
2 = 2 + 6
2 = 8 - INCORRECT
Therefore, the ordered pair (0,6) is the only option that satisfies the equation.