The head-to-tail method consists of changing the subtraction of vectors into an addition, where the second vector in the addition will be the opposite vector of the second vector in the subraction:
If vector b is <1, 4>, vector -b is <-1, -4> (we just need to change every signal).
Now, let's draw vector 'a', and in the head of vector 'a' let's start drawing the tail of vector b:
The red vector, which is the sum of 'a' and '-b', is created at the tail of 'a' and finishes at the head of '-b'.
The initial point is (0, 0), and the terminal point is (-4, -9)