First, take into account that two parallel lines have the same slope m.
The given line y = -1/3 x - 1 has a slope of -1/3.
That is, the slope of the required line is -1/3.
Moreover, consider that a way of writting the equation of a line is:
y - yo = m(x - xo)
where (xo,yo) is a point on the line and m is the slope.
Use the point (xo,yo) = (3,2) and replace the values of the coordinates into the previous equation:
y - 2 = -1/3(x - 3)
solve the previous equation for y:
y -2 = -1/3 x + 1
y = -1/3 x + 1 + 2
y = -1/3 x + 3
Hence, the equation of the parallel line is y = -1/3 x + 3
