which of the following is an ordered pair of the relation y= -2/3x+6

To determine which among the given options is an ordered pair of the relation y = (-2/3)x + 6, we can substitute the x-value into the equation and check if it satisfies the equation.

The options are:

A) (0, 6)
B) (1, 5)
C) (2, 3)
D) (3, 4)

Let's substitute the x-value and solve for y for each option:

A) When x = 0, y = (-2/3)(0) + 6 = 6. This satisfies the equation. Therefore, (0, 6) is an ordered pair of the relation.

B) When x = 1, y = (-2/3)(1) + 6 = 5 1/3. This doesn't satisfy the equation.

C) When x = 2, y = (-2/3)(2) + 6 = 4 2/3. The equation is not satisfied.

D) When x = 3, y = (-2/3)(3) + 6 = 4. This satisfies the equation. Therefore, (3, 4) is an ordered pair of the relation.

Thus, the ordered pairs that are part of the relation y = (-2/3)x + 6 are option A) (0, 6) and option D) (3, 4).