Which ordered pair is not a solution of y = -4x - 9 a. (-9,27) b. (3,-21) c. (-6,15) d. (5,-28)

D. (5,-28)

Step-by-step explanation:

The slope(m) of y = -4x - 9 is -4

Finding the x and y intercepts:

When x is zero y = 0  - 9 = -9

When y is zero x = 9/-4 = -2.25

The line passes through points (-2.25,0) and (0,-9)

Taking a point (-9,27):

Slope(m) = change in y ÷ change in x = (27 - -9) ÷ (-9 - 0) = -4

Therefore the point (-9,27) is on the line.

Taking a point (3,-21):

Slope (m) = (-21 - -9) ÷ (3 - 0) = -4

Therefore a point (3,-21) is on the line.

Taking a point (-6,15):

Slope(m) = (15 - -9) ÷ (-6 - 0) = -4

Therefore a point (-6,15) is on the line.

Taking a point (5,-28):

Slope(m) = (-28 - -9) ÷ (5 - 0) = -3.8

Since the slope in this case is not -4 the point (5,-28) is not on the line.