To find the value of the function \( y = \frac{1}{8x - 13} \) when \( x = -4 \), we start by substituting \(-4\) for \(x\):
\[ y = \frac{1}{8(-4) - 13} \]
Calculating the expression in the denominator:
\[ 8(-4) = -32 \] \[ -32 - 13 = -45 \]
Now, substitute this back into the equation for \(y\):
\[ y = \frac{1}{-45} \]
Since \(\frac{1}{-45}\) is a very small negative number, we can approximate it as \(-0.0222\), but let's check the options provided:
The values provided were:
- \(-15\)
- \(-12.5\)
- \(-13.5\)
- \(-16\)
None of these options correctly represent the outcome of substituting \(x = -4\) into the function \(y = \frac{1}{8x - 13}\) since \(-0.0222\) is not listed.
Therefore, the conclusion is that the function value \(y\) for \(x = -4\) is not among the given options. If you need a more precise understanding or corrective options, please provide more context or an updated set of choices.