Final answer:
The ordered pairs for the equation y = (3/4)x + 6 are (4, 9), (-4, 3), (0, 6), and (2, 8).
Step-by-step explanation:
The equation is y = (3/4)x + 6. To find the ordered pairs, we can choose different values for x and calculate the corresponding values of y. For example, if we let x = 4, we can substitute it into the equation:
y = (3/4)(4) + 6 = 3 + 6 = 9
So, the ordered pair (4, 9) is one solution. We can do the same for the other given values of x:
If x = -4, then y = (3/4)(-4) + 6 = -3 + 6 = 3, so the ordered pair (-4, 3) is another solution.
If x = 0, then y = (3/4)(0) + 6 = 0 + 6 = 6, so the ordered pair (0, 6) is a solution.
If x = 2, then y = (3/4)(2) + 6 = 3/2 + 6 = 8 1/2 = 8.5, so the ordered pair (2, 8) is also a solution.
Therefore, the ordered pairs for the equation y = (3/4)x + 6 are (4, 9), (-4, 3), (0, 6), and (2, 8).