Final answer:
The slope of the line passing through the points (-8, 3) and (0, -15) is calculated using the slope formula (rise over run). The slope is -18 divided by 8, which simplifies to -9/4, making the correct answer D) -9/4.
Step-by-step explanation:
To find the slope of the line that passes through two points, we can use the slope formula which is (change in y) / (change in x), also known as the 'rise over run'. In this case, the two points provided are (-8, 3) and (0, -15). The change in y (rise) is calculated by subtracting the y-coordinate of the second point from the y-coordinate of the first point, which is -15 - 3. The change in x (run) is calculated by subtracting the x-coordinate of the second point from the x-coordinate of the first point, which is 0 - (-8).
The calculations are as follows:
- Change in y (rise) = -15 - 3 = -18
- Change in x (run) = 0 - (-8) = 8
Now, calculate the slope:
Slope = rise / run = (-18) / 8 = -9/4
Therefore, the correct answer is D) -9/4.