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In this problem, you are asked if lines \(L_1\) and \(L_2\) in the graph are parallel based on their slopes. The correct answer, as highlighted in the image, is:

- **No, lines \(L_1\) and \(L_2\) are not parallel because they have different slopes.**

### Explanation:

To determine if two lines are parallel, their slopes must be identical. Let's compute the slopes of the two lines to verify this.

- **Line \(L_1\)**:
  - Using the points \((-8, -3)\) and \( (0, -5)\), the slope \(m\) is calculated by:
  \[
  m_1 = \frac{-5 - (-3)}{0 - (-8)} = \frac{-5 + 3}{0 + 8} = \frac{-2}{8} = -\frac{1}{4}
  \]

- **Line \(L_2\)**:
  - Using the points \( (0, 1)\) and \( (9, 12)\), the slope \(m\) is calculated by:
  \[
  m_2 = \frac{12 - 1}{9 - 0} = \frac{11}{9}
  \]

Since the slopes \(m_1 = -\frac{1}{4}\) and \(m_2 = \frac{11}{9}\) are different, the lines are not parallel. Therefore, the answer is correctly marked as:

**Option A: No, lines \(L_1\) and \(L_2\) are not parallel because they have different slopes.**

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Do you want more details or have any questions?

Here are some related questions for further practice:
1. What does it mean for two lines to be perpendicular in terms of their slopes?
2. How would you find the slope of a line from its equation in slope-intercept form?
3. Can two lines with different slopes ever intersect at more than one point?
4. If two lines have the same slope but different y-intercepts, are they always parallel?
5. How would you find the equation of a line parallel to a given line passing through a specific point?

**Tip:** When calculating slopes, remember to keep track of signs, as this determines the direction of the line.

In the graph to the right, are lines L_1 and L_2 parallel? Explain.

Learn how to determine if two lines are parallel by comparing their slopes. This problem covers key algebraic concepts and uses the slope formula to find the slopes of the lines. Suitable for students in Grades 8-10.

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