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To determine the slope m, we need to substitute the coordinates of the point (-3,-9) into the equation y = mx + 5.
-9 = m(-3) + 5
Simplifying the equation, we get:
-9 = -3m + 5
Next, we subtract 5 from both sides of the equation:
-14 = -3m
Finally, we divide by -3 to solve for m:
m = -14 / -3
m = 14 / 3
Therefore, the slope m is 14/3.