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?

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.