Final answer:
The description of segment AB with points A(3,4) and B(3,−2) is a vertical segment. The length of segment AB is determined by the difference in y-coordinates, which is 6 units; thus, the segment is vertical with a length of 6 units(option b).
Step-by-step explanation:
To determine the description and length of segment AB, we observe the coordinates of points A(3,4) and B(3,−2). Since the x-coordinates of both points are the same, but the y-coordinates differ, segment AB is vertical. The length of a segment can be found using the distance formula, which is based on the Pythagorean theorem. In this case, since the segment is vertical, we only need to calculate the difference in the y-coordinates to find the length:
|y2 - y1| = |(-2) - 4| = |-6| = 6 units.
However, there seems to be a typo in the length given in the options. Given the y-coordinates provided, the length should indeed be 6 units. So, the correct answer would be B. Vertical segment, length = 6 units, had there not been a typo.