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The problem asks to evaluate the expression:

\[
\frac{-b + 2}{b - 8}
\]

with \( b = 4 \).

Let's substitute \( b = 4 \) into the expression:

\[
\frac{-(4) + 2}{4 - 8} = \frac{-4 + 2}{4 - 8} = \frac{-2}{-4}
\]

Simplifying:

\[
\frac{-2}{-4} = \frac{1}{2}
\]

The answer in its simplest form is \( \frac{1}{2} \).

Would you like further details or have any questions? Here are 5 related questions you might consider:

1. What happens if \( b = 8 \) in this expression?
2. How would you handle this expression if it had a more complex numerator or denominator?
3. How do you simplify negative fractions in general?
4. What is the domain of the expression \( \frac{-b + 2}{b - 8} \)?
5. How do you approach solving rational expressions for various values of \( b \)?

**Tip**: Always simplify both the numerator and denominator before simplifying the entire expression.

Evaluate the expression for b = 4: (-b + 2) / (b - 8)

Learn how to evaluate and simplify the rational expression (-b + 2) / (b - 8) by substituting b = 4. Follow the steps to simplify the expression to 1/2, with a detailed explanation of fraction simplification. Suitable for students in Grades 6-8.

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