Here's the graph of the function $f(x) = -\frac{1}{3}x + 4$, along with the vertical line $x = -6$ and the point $(-6, f(-6))$, which is plotted in red. The point is located at $(-6, 6)$.

Would you like any further details or have any questions about this?

Here are five related questions to expand on the concept:

1. How does the slope of the line affect its steepness and direction?
2. What is the significance of the y-intercept in a linear function?
3. Can you find the x-intercept of the function $f(x) = -\frac{1}{3}x + 4$?
4. How would the graph change if the slope were positive instead of negative?
5. How can you determine if two lines are parallel or perpendicular?

Tip: The slope in a linear equation determines whether the line rises or falls as $x$ increases.