Question 893569
You want the same slope for the parallel line.
y=mx+b, and slope is m.


You are looking for {{{y=(1/3)x+b}}}
and solving for b,
{{{b=y-(1/3)x}}}
Substituting to needed point,
{{{b=2-(1/3)*0}}}
{{{b=2}}}


The equation you want is {{{highlight(y=(1/3)x+2)}}}.


You would do best to know the currently needed equations and formulas and use
your existing skills for this kind of exercise than to derive a formula specific
for this general exercise.  On the other hand, no harm in actually deriving such
a formula.