The following equation
[tex]y=\frac{1}{3}x-2[/tex]Describes a line with a slope of (1/3) and translated in the y-axis of 2.
Any line with the same slope, is going to be parallel to this line.
From the options we have, the function with the same slope is:
[tex]y=\frac{1}{3}x+4[/tex]And this is our answer.