Graph the line with slope $-\frac{1}{3}$ passing through the point $(2,-1)$.

Step 1 ：We are given the slope of the line as \(-\frac{1}{3}\) and the line passes through the point \((2,-1)\).

Step 2 ：The equation of a line in slope-intercept form is \(y = mx + b\), where \(m\) is the slope and \(b\) is the y-intercept.

Step 3 ：We can substitute the given values into the equation to find the y-intercept \(b\).

Step 4 ：Substituting \(m = -\frac{1}{3}\) and \((x,y) = (2,-1)\) into the equation, we get \(-1 = -\frac{1}{3} * 2 + b\).

Step 5 ：Solving for \(b\), we get \(b = -\frac{1}{3}\).

Step 6 ：Now that we have the y-intercept, we can write down the equation of the line.

Step 7 ：The equation of the line is \(y = -\frac{1}{3}x - \frac{1}{3}\).

Step 8 ：\(\boxed{y = -\frac{1}{3}x - \frac{1}{3}}\) is the final answer. The line can be graphed using this equation.