You can find the x and y component vectors for each vector, and adding them would give the x and y components of the final vector.
The direction here can be given by tan-1
(y/x) where y is the y-component vector for the final vector and x is the x-component vector.
It's kind of hard to put it in words but I hope this helps.
Vector 1: 4x+2y
Vector 2: 5x-6y
Final vector: 9x-4y
Direction of final vector: tan-1