Question 753457
The best interpretation of what you want is the line perpendicular to {{{y=-3x-1}}} and contains the point (1,-1).


The slope of the line you want is +{{{(1/3)}}}.  We initially do not know the y-intercept, b but can solve for b and then substitute the given point of (1,-1).



{{{y=(1/3)x+b}}}
{{{b=y-(1/3)x}}}
Now let x=1 and y=-1
{{{b=-1-(1/3)*1}}}
{{{b=-1&1/3}}}


Your equation is then found, {{{highlight(y=(1/3)x-1&1/3)}}}