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We are given the function:

\[
h(x) = \frac{1}{2}x - 14
\]

And we are asked to find \( h(-4) \).

To calculate \( h(-4) \), we substitute \( x = -4 \) into the given function:

\[
h(-4) = \frac{1}{2}(-4) - 14
\]

Now, let's calculate this step by step:

\[
h(-4) = \frac{1}{2} \times (-4) - 14 = -2 - 14 = -16
\]

Thus, \( h(-4) = -16 \).

Would you like further explanation or have any questions? Here are some related questions to expand your understanding:

1. What is the slope of the line represented by \( h(x) \)?
2. How do you interpret the \( y \)-intercept of the function \( h(x) \)?
3. What would be \( h(0) \) for this function?
4. Can you express \( h(x) \) in standard linear form \( y = mx + b \)?
5. How would you graph \( h(x) = \frac{1}{2}x - 14 \)?

**Tip:** In a linear function, the coefficient of \( x \) represents the slope, which determines how steep the line is.

Learn how to solve the linear equation h(x) = 1/2x - 14 by substituting x = -4. This algebra problem involves simple substitution and calculation. Suitable for students in Grades 7-9.

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