(y = x + 6)
(y = 9x - 2)
(**since both of the equations equal y, set the equations equal to each other**)
(9x - 2 = x + 6)
(**now solve**)
(8x - 2 = 6)
(8x = 8)
(x = 1)
(**now plug x back into one of the equations to find y**)
(y = 1 + 6)
(y = 7)
(**Now we found the intersection, which is (1,7))