https://file.aiquickdraw.com/mathbot/file/1726109251495wvbe7phh.jpg

The image shows a graph with two lines: one is labeled \( y_1 = f(x) \) (in blue) and the other \( y_2 = g(x) \) (in red). The task is to solve the equation \( f(x) = g(x) \) using the graph.

To solve this graphically, we need to find the point(s) where the two lines intersect, as this is where \( f(x) = g(x) \).

From the graph:
- The lines intersect at the point \( (2, 4) \).

Thus, the solution to the equation \( f(x) = g(x) \) is \( x = 2 \).

Would you like further details or explanations? Here are five follow-up questions you might consider:

1. What are the equations of \( f(x) \) and \( g(x) \)?
2. How can we verify the solution algebraically if given equations of the lines?
3. What happens if the lines don't intersect?
4. Can two lines intersect at more than one point?
5. How would the graph look if there were no solution?

**Tip**: When solving graphically, always check for the intersection point, as it represents where both functions are equal.

Solve the equation f(x) = g(x) using the graph given below.

Solve the equation f(x) = g(x) using the given graph where two linear functions intersect at the point (2, 4). The solution is x = 2, where the two functions are equal. This problem involves graphing concepts and finding the intersection of linear functions.

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