Given equation of line is,
[tex]y=\frac{1}{3}x-2[/tex]
The two lines are parallel if and only if their slopes are equal.
The line in the form y=mx+c has slope m.
So, compare the given equation of line with y=mx+c it gives ,
slope =m= 1/3.
It is observed that option B) y=1/3x+4 has slope m=1/3 which is equal to the slope of given line.
Answer: option B) y=1/3x+4
