A knight travels in a straight line from the starting point to Token 1. The knight can only make right-angle turns to get to tokens 2 and 3.

Since the knight can only make right-angle turns, what are the slopes of the straight line paths the knight can travel?

What equations describe a path that the knight can follow from the starting point to reach the tokens for the arrangement shown?

What is the fewest number of turns that the knight can take in order to get all three tokens?
Start: 3,2
Token 1: 6,5
Token 2: 6,8
Token 3: 9,1​