To find $h(6)$, we need to evaluate the function $h(x)$ at $x = 6$ by analyzing the graph provided.

Looking at the graph, $h(x)$ represents a straight line, which appears to have a negative slope. We can find the value of $h(6)$ by locating $x = 6$ on the horizontal axis and reading the corresponding $y$-value from the graph.

From the graph, when $x = 6$, $h(x) = -2$.

Thus, $h(6) = -2$.

Would you like any further clarification or details? Here are some related questions you might find helpful:

1. What is the slope of the line $h(x)$?
2. Can you determine the equation of the line $h(x)$?
3. How would you find the intercepts of the line $h(x)$?
4. What is the difference between the functions $h(x)$ and $g(x)$ in terms of their shapes?
5. How does the graph of $g(x)$ relate to the table of values provided?

Tip: Always check the slope of a line when trying to identify its general behavior across different values of $x$.