Graph the function f(x)=-1/3x+4. Draw the line x=-6 and graph the point (-6,f(-6))

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.

Graph the function f(x)=-1/3x+4. Draw the line x=-6 and graph the point (-6,f(-6)).

Learn how to graph the linear function f(x) = -1/3x + 4, plot the vertical line x = -6, and graph the point (-6, 6) derived from the function. This step-by-step guide covers the key concepts of linear functions, graphing, and slope-intercept form. Ideal for Grades 8-10.

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