Answer:
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.
