To find $g(6)$, we need to refer to the graph of $g(x)$ on the left side of the image. This graph is a straight line, which represents a linear function. Here's how we can determine $g(6)$:

1. Locate $x = 6$ on the horizontal axis (the $x$-axis).
2. From this point, trace vertically until you hit the line of $g(x)$.
3. From the point on the line, trace horizontally to the $y$-axis to read the corresponding $y$-value, which gives $g(6)$.

From the graph, when $x = 6$, the corresponding $y$-value is $g(6) = -2$.

So, $g(6) = -2$.

Would you like more details on how to read values from the graph or on the linear equation? Let me know if you have any questions!

Here are 5 relative questions for further understanding:

1. How do you determine the equation of the line $g(x)$ from the graph?
2. How would you find the slope of the line representing $g(x)$?
3. What does the $y$-intercept of a graph represent in this context?
4. How would you solve for $g(x)$ if the graph was not provided?
5. How does the behavior of linear functions differ from quadratic functions, like $f(x)$?

Tip: When analyzing graphs, always check key points like the slope and intercept to understand the underlying function more easily.