How many different triangles with these properties could be constructed?

How many different triangles with these properties could be constructed?

The right angled triangle PQR is to be constructed in the xy-plane, so that the right angle is at P and PR is parallel to the x-axis. The x and y coordinates of P,Q and R are to be integers that satisfy the inequality −4≤x≤5 and 6≤y≤16. 

 How many different triangles with these properties could be constructed? Please explain how you got your answer.