To find the value of the function \( y = \frac{1}{8}x - 13 \) when \( x = -4 \), we can substitute \(-4\) into the function.
\[ y = \frac{1}{8}(-4) - 13 \]
Now, calculate \(\frac{1}{8}(-4)\):
\[ \frac{1}{8}(-4) = -\frac{4}{8} = -\frac{1}{2} \]
Now substitute this value back into the equation:
\[ y = -\frac{1}{2} - 13 \]
To combine these terms, we can write \( -13 \) as \( -\frac{26}{2} \):
\[ y = -\frac{1}{2} - \frac{26}{2} = -\frac{1 + 26}{2} = -\frac{27}{2} \]
Thus, the value of the function when \( x = -4 \) is:
\[ y = -\frac{27}{2} \quad \text{or } -13.5 \]