To find $h(6)$ from the given graph, we need to find the corresponding $y$-value for $x = 6$ on the graph of $h(x)$.

Looking at the graph:

1. Locate $x = 6$ on the horizontal axis.
2. Trace upwards (or downwards) until you intersect the line representing $h(x)$.
3. From the point of intersection, trace horizontally to the $y$-axis to find the corresponding $y$-value.

From observation, it seems that when $x = 6$, $h(6) = -6$.

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

Would you like more details or have any questions? Here are some related questions to think about:

1. What is the slope of the line representing $h(x)$?
2. Can you express $h(x)$ as a linear equation based on the graph?
3. How do you determine the y-intercept of a linear function from a graph?
4. How does the value of $h(x)$ change as $x$ increases by 1 unit?
5. What is the connection between the slopes of two linear functions when they are perpendicular?

Tip: In linear graphs, the rate of change (or slope) tells you how the $y$-values change as the $x$-values change.