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We are given the function \( h(x) = -3x + 5 \) and need to find \( h(-7) \).

### Step-by-Step Solution:

1. The function is \( h(x) = -3x + 5 \).
2. To find \( h(-7) \), substitute \( x = -7 \) into the equation.

\[
h(-7) = -3(-7) + 5
\]

3. Simplify the expression:

\[
h(-7) = 21 + 5 = 26
\]

### Final Answer:
\[
h(-7) = 26
\]

Would you like further details or have any questions?

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Here are 5 related questions for further practice:
1. What is \( h(0) \) for the function \( h(x) = -3x + 5 \)?
2. If \( h(x) = -3x + 5 \), find the value of \( x \) when \( h(x) = 11 \).
3. How would the graph of \( h(x) = -3x + 5 \) look?
4. If the function were \( h(x) = -2x + 7 \), what would \( h(-7) \) be?
5. What is the slope of the linear function \( h(x) = -3x + 5 \)?

**Tip:** Always check your work by substituting values back into the original equation to ensure correctness.

Learn how to evaluate h(-7) for the linear function h(x) = -3x + 5. This problem involves substituting -7 into the equation and simplifying. Suitable for students in Grades 6-8.

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