Final answer:
The line through the points (3/8, -5) and (-1/4, -1/4) is not vertical because the x-coordinates of both points are not the same.
Step-by-step explanation:
To determine whether the line passing through the points (3/8, -5) and (-1/4, -1/4) is vertical, we need to examine the change in x-coordinates. In a vertical line, the x-coordinate for all points on the line is the same because there is no horizontal movement. By comparing the x-coordinates of the two points, it's clear that they are different (3/8 is not equal to -1/4), which implies that the line is not vertical. Therefore, the line passing through these points has some slope and is not a vertical line.