The point-slope form of the equation of a line is given by the formula:
\[ y - y_1 = m(x - x_1) \]
where \((x_1, y_1)\) is a point on the line and \(m\) is the slope.
In this case, the point is \((3, 8)\) and the slope \(m\) is \(\frac{1}{3}\). Plugging these values into the point-slope formula gives:
\[ y - 8 = \frac{1}{3}(x - 3) \]
Thus, the equation of the line in point-slope form is:
\[ y - 8 = \frac{1}{3}(x - 3) \]