If y - 3 = 3x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs?

{ (0,3), (1, 6), (2, 9))

{ (3,0), (6, 1), (9, 2) }

{ (1,3), (2,6), (3,9)

{ (3, 1), (6,2), (9,3) }

a) Only the set of ordered pairs { (0,3), (1, 6), (2, 9)) satisfies the

equation y - 3 = 3x

Step-by-step explanation:

Here, the given equation is : y - 3 = 3x

or, y - 3 x = 3

Now, check the value of equation for first ordered pair in each set.

a) { (0,3), (1, 6), (2, 9)) : Checking for (0.3)

y - 3x = 3 - 3 (0) = 3

and 3 = 3 = Right side

Hence, { (0,3), (1, 6), (2, 9)) satisfies the equation.

b) { (3,0), (6, 1), (9, 2) } : Checking for (3,0)

y - 3x = 0 - 3 (3) = - 9

and - 9 ≠ 3 (Right side)

Hence, { (3,0), (6, 1), (9, 2) } do NOT satisfy the equation.

c) { (1,3), (2,6), (3,9) } : Checking for (1,3)

y - 3x = 3 - 3 (1) = 3 - 3 = 0

and 0 ≠ 3 (Right side)

Hence,{ (1,3), (2,6), (3,9) } do NOT satisfy the equation.

d) { (3, 1), (6,2), (9,3) } : Checking for (3,1)

y - 3x = 1 - 3 (3) = 1 - 9 = - 8

and - 8 ≠ 3 (Right side)

Hence,{ (3, 1), (6,2), (9,3) } do NOT satisfy the equation.