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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.

This lesson explains how to find h(6) using a linear function graph. The problem involves interpreting the graph and understanding the slope-intercept form of a linear equation. Suitable for students in Grades 7-9.

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