The expression \(-\frac{1}{8}(x - 2)\) represents a linear equation that can be simplified by distributing the \(-\frac{1}{8}\) to both terms inside the parentheses.

Here’s the step-by-step breakdown:

1. Distribute \(-\frac{1}{8}\) to both terms inside the parentheses:
   \[
   -\frac{1}{8}(x - 2) = -\frac{1}{8} \cdot x + \left(-\frac{1}{8} \cdot (-2)\right)
   \]

2. Simplify:
   \[
   = -\frac{1}{8}x + \frac{2}{8}
   \]

3. Reduce the fraction \(\frac{2}{8}\):
   \[
   = -\frac{1}{8}x + \frac{1}{4}
   \]

So, the simplified form of \(-\frac{1}{8}(x - 2)\) is:
\[
-\frac{1}{8}x + \frac{1}{4}
\]

Would you like more details or have any questions?

Here are 5 related questions:
1. How do you solve for \(x\) if this expression equals zero?
2. What is the slope of the linear function represented by this expression?
3. How would the graph of this linear expression look on a coordinate plane?
4. How does distributing negative fractions affect algebraic expressions?
5. How can you solve equations with fractions more easily?

**Tip**: When working with fractions, multiplying or dividing both sides of an equation by a common denominator can simplify calculations significantly.

Learn how to simplify the linear expression -1/8(x - 2) using the distributive property. This solution includes a step-by-step breakdown of distributing fractions and simplifying algebraic expressions, suitable for students in Grades 7-9.

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