Final answer:
To find the slope between the points (0,8) and (0,5), we utilize the slope formula. However, since the x-values are the same, the run is 0, resulting in an undefined slope indicating a vertical line.
Step-by-step explanation:
To determine the slope of the line passing through the points (0,8) and (0,5), we apply the formula for slope which is m = (y2 - y1) / (x2 - x1). Here, the points are (x1, y1) = (0, 8) and (x2, y2) = (0, 5).
Calculating the rise, which is the change in the y-values:
5 - 8 = -3.
Calculating the run, which is the change in the x-values:
0 - 0 = 0.
Since the denominator of our slope fraction would be 0, it indicates that the slope is undefined. This means that we have a vertical line.