Question 323931
Convert to slope intercept form
{{{x + 2y = 6}}}
{{{2y = -x + 6}}}
{{{y = -x/2 + 3}}} m = -1/2

{{{x + 3y = 9}}}
{{{3y = -x + 9}}}
{{{y = -x/3 + 3}}} m = -1/3

The slopes are different - so not parallel
The slopes are not negative inverse - so not perpendicular
Answer : neither

{{{graph(400,400,-10,10,-10,10, -x/2+3 , -x/3+3)}}}