Step 1 :Given the slope $m = -\frac{1}{3}$ and the point $(9, -4)$, we can use the point-slope form formula: $y - y_1 = m(x - x_1)$.
Step 2 :Plug in the given values: $y - (-4) = -\frac{1}{3}(x - 9)$.
Step 3 :Simplify the equation: $y + 4 = -\frac{1}{3}(x - 9)$.
Step 4 :\(\boxed{y + 4 = -\frac{1}{3}(x - 9)}\) is the equation for the line in point-slope form.