To find the value of the function \( y = \frac{1}{8x - 13} \) when \( x = -4 \), we first substitute \(-4\) into the function:
\[ y = \frac{1}{8(-4) - 13} \]
Calculating the denominator:
\[ 8(-4) = -32 \]
Now substituting that back in:
\[ y = \frac{1}{-32 - 13} \] \[ y = \frac{1}{-45} \]
Thus, \( y = -\frac{1}{45} \).
Now we can check the options given. However, none of the options provided match the calculated value of \( y \). The answer is:
\(-\frac{1}{45}\), but that is not listed in the options. Thus, it seems there might be an error in the provided options, or in the function given.