Question 618231
I can give you the theory
First find the slope of the given line
{{{ 3x - y = 5 }}}
{{{ -y = -3x + 5 }}}
{{{ y = 3x - 5 }}}
The slope is {{{ 3 }}}
Any line that is perpendicular to this line has
slope = {{{ -1/m }}} so
{{{ -1/m = -1/3 }}}
You now have the slope and the point (-2,-2 ) 
and that determines the line
Use the point-slope formula
{{{ ( y -(-2) ) / ( x -(-2) ) = -1/3 }}}
{{{ ( y + 2 ) / ( x + 2 ) = -1/3 }}}
{{{ y + 2 = (-1/3)*( x + 2 ) }}}
{{{ y + 2 = (-1/3)*x - 2/3 }}}
{{{ y = (-1/3)*x - 2/3 -6/3 }}}
{{{ y = (-1/3)*x -8/3 }}}
------------------
Here'a a plot of the 2 lines:
{{{ graph( 400, 400, -10, 10, -10, 10, 3x - 5, (-1/3)*x - 8/3 ) }}}