Part A: The equation of the ship's path is 
Part B: The two ships sails perpendicular to each other.
Explanation:
Part A: It is given that
and point (2, 5)
Substituting these in the slope intercept form, we have,


Thus, the equation of the ship's path in slope intercept form is 
Part B: The equation of the second ship is 
Let us bring the equation in the form of slope intercept form.

Thus, from the above equation the slope is 
To determine the two ships sailing perpendicular to each other, we have

where
and 

Since, both sides of the equation are equal, these two ships sails perpendicular to each other.