Question 58931
You are partly correct.
That is till you arrived at 8-y = x
Adding -8 to both the sides you get,
-y = x - 8
Adding y to both the sides u get,
0 = x-8+y
Or x + y - 8 = 0
U get the intercepts by replacing x and y by 0,
So x intercept would be (8,0) and y intercept would be (0,8)

Good Luck!!!