Question 199961
one  way  to  check  slopes  is  to  have  equations  in  slope  intercept  form ( y=mx +b )
.
(1)  9x -2y =16
  -2y =-9x +16
  y =( 9/2) x -8
.
(2)  2x -9y = -18
  -9y  =  -2x -18
  y = (2/9) x +2
.
If  parallel,  m1  =m2,,,,no
.
if  perpendicular  m1= - 1/m2,,,,,no
.
therefore  other,,in fact  intersect  at  (  2.34,  2.52)