Final answer:
The faint line visible on both sides of a fish's body that detects vibrations in the water is known as the Lateral Line, which is a sense organ crucial for navigation and hunting.
Step-by-step explanation:
The correct answer to the student's question is A) Lateral Line. This is the sense organ that runs the length of a fish's body and is used to detect vibration in the water. The lateral line is an essential sensory system for fish, allowing them to sense movements and pressure changes in the surrounding water, which helps them navigate, avoid predators, and locate prey. Sharks are one example of aquatic animals that possess a highly developed lateral line system, which they use in combination with other senses like smell and electroreception to hunt successfully.