The number of pairs of integers (x,y) that satisfy both x^2 + y^2 <_ 36 and y = x-4

x^2  +  y^2  ≤  36   (1)

y  =  x  - 4     (2)

Look at the graph, here  : https://www.desmos.com/calculator/leyhcfzzep

The integer pairs that make this true  are  :

(-1, -5)   (0, -4)  (1, -3)  (2, -2)  ( 3, -1)   ( 4, 0)   ( 5, 1)