Final answer:
The best name for a quadrilateral that can be determined using slope and distance is a Parallelogram.
Step-by-step explanation:
The best name for a quadrilateral that can be determined using slope and distance is a Parallelogram. A parallelogram has opposite sides that are parallel and equal in length, which can be determined by examining the slopes of the sides. Additionally, the distance between opposite sides of a parallelogram is consistent, which aligns with the concept of distance. Therefore, a parallelogram is the most accurately described quadrilateral using slope and distance.