Question 865818
The given equation is the same as {{{3x+y=-1}}}.  Being already in standard form makes the work convenient.


The lines you want to find take the forms, {{{3x+y=c}}} and {{{3x-y=d}}}, corresponding to the wanted parallel line, and the wanted perpendicular line.


{{{3*4+4=c}}}, and {{{3*4-4=d}}}.