The lines are neither. Transform both equations into y=mx+b form. If the equations have equal slopes and different y-intercepts, they are parallel. If they are perpendicular, one equation will have the negative reciprocal slope of the other.
x-9y=-4
Subtract x from both sides:
-9y=-x-4
Divide by -9 on both sides:
y=1/9x-+9/4
Compare to other equation:
y=5x-9
Thus, the slopes are not equal nor negative reciprocals, making the lines neither parallel nor perpendicular.