To find the value of the function \( y = \frac{1}{8}x - 13 \) when \( x = -4 \), we can substitute \( -4 \) for \( x \).
First, calculate \( \frac{1}{8} \times -4 \):
\[ \frac{1}{8} \times -4 = -\frac{4}{8} = -\frac{1}{2} = -0.5 \]
Now substitute this value into the equation:
\[ y = -0.5 - 13 \]
Next, calculate \( -0.5 - 13 \):
\[ y = -0.5 - 13 = -13.5 \]
So the value of the function when \( x = -4 \) is:
\[ \text{−13.5} \]
The correct response is −13.5.