Q:

Which ordered pair is not a solution of y = -4x - 9A. (-9,27)B. (3,-21)C. (-6,15)D. (5,-28)

Accepted Solution

A:
Answer:D. (5,-28)Step-by-step explanation:The slope(m) of y = -4x - 9 is -4Finding the x and y intercepts:When x is zero y = 0  - 9 = -9When y is zero x = 9/-4 = -2.25The 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) = -4Therefore the point (-9,27) is on the line.Taking a point (3,-21):Slope (m) = (-21 - -9) ÷ (3 - 0) = -4Therefore a point (3,-21) is on the line.Taking a point (-6,15):Slope(m) = (15 - -9) ÷ (-6 - 0) = -4Therefore a point (-6,15) is on the line.Taking a point (5,-28):Slope(m) = (-28 - -9) ÷ (5 - 0) = -3.8Since the slope in this case is not -4 the point (5,-28) is not on the line.