which ordered pair is not a solution of -4x-9

a.-9,27
b.3,-21
c.-6,15
d.5,-28

You probably meant:

y = -4x - 9

sub each given point into the function to see if it works
I will do c) for you
Does (-6,15) satisfy y = -4x - 9 ? Let's see ...
15 = -4(-6) - 9
15 = 24-9 , well, what do you know, I lucked out.
Try the others, there may be more

To determine which ordered pair is not a solution of the equation -4x - 9, we need to substitute the x and y values of each pair into the equation and see if it holds true.

Let's start with option a: (-9, 27).
Substituting x = -9 and y = 27 into the equation: -4(-9) - 9 = 36 - 9 = 27.
The equation holds true for this ordered pair, so it is a solution.

Now let's move to option b: (3, -21).
Substituting x = 3 and y = -21 into the equation: -4(3) - 9 = -12 - 9 = -21.
The equation holds true for this ordered pair, so it is a solution as well.

Next, let's check option c: (-6, 15).
Substituting x = -6 and y = 15 into the equation: -4(-6) - 9 = 24 - 9 = 15.
The equation also holds true for this ordered pair, so it is a solution.

Finally, we will check option d: (5, -28).
Substituting x = 5 and y = -28 into the equation: -4(5) - 9 = -20 - 9 = -29.
The equation does not hold true for this ordered pair. The left side of the equation is -29, but the right side should be -28. Therefore, option d: (5, -28) is NOT a solution of the equation -4x - 9.

Thus, the correct answer is d. 5,-28.