No, the graphs of the lines are not parallel because if you simplify 27x-3y=-81, you get y=9x+27, and in order to have the lines parallel, both equations must have the same "m" in y=mx+b. 6 and 9 do not equal, so no they are not parallel.
All of them or which one???
Given:
The equation of given line is

A line is perpendicular to the given line and passes through the point (9,5).
To find:
The equation of the perpendicular line.
Solution:
We have,

On comparing this equation with slope intercept form
, we get

It means, the slope of the given line is 3.
The product of slopes of two perpendicular lines is -1.



Point slope form of a line is

Where, m is the slope.
The slope of perpendicular line is
and it passes through the point (9,5). So the equation of the line is



Adding 5 on both sides, we get


Therefore, the equation of required line is
.