Final answer:
The slope of the line passing through Point A (3, -9) and the origin is calculated using the rise over run formula. The slope (m) is found to be -3, which is the result of the change in y-values divided by the change in x-values.
Step-by-step explanation:
To find the slope of the line passing through Point A (3, -9) and the origin (0, 0), we can use the rise over run formula. The 'rise' is the change in the y-values and the 'run' is the change in the x-values between the two points. Thus, the slope m can be calculated as follows:
- Rise (change in y): -9 - 0 = -9
- Run (change in x): 3 - 0 = 3
- Slope (m) = Rise / Run = (-9) / 3 = -3
Therefore, the slope of the line through Point A and the origin is -3.