Question

What is the slope of a line parallel to the line `y=1/3x+2`?

Answer 1

Any linear equation of the form
`y =mx+b` has a slope of `m`

`y= (1/3)x+2` is of this form and therefore has a slope of `(1/3)`.

All parallel lines have the same slope.

Any line parallel to `y=1/3x+2` has a slope of `(1/3)`

Answer 2

Your line has slope `m=1/3`, which is the numerical coefficient of `x`.
The parallel line must have the same slope. i.e., `1/3`.