$$ y=7 x-2 $$ $$ y=7 x+8 $$ Are the lines parallel, perpendicular, or neither? Parallel Perpendicular Neither

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To determine whether the lines $$ y = 7x - 2 $$ and $$ y = 7x + 8 $$ are **parallel**, **perpendicular**, or **neither**, let's analyze their slopes:

1. **Slope of the first line** ($$ y = 7x - 2 $$): 
   - The slope ($$ m_1 $$) is **7**.

2. **Slope of the second line** ($$ y = 7x + 8 $$):
   - The slope ($$ m_2 $$) is **7**.

**Comparison:**
- **Parallel Lines**: Two lines are parallel if they have the **same slope** but different y-intercepts.
- **Perpendicular Lines**: Two lines are perpendicular if the product of their slopes is **-1** (i.e., they are negative reciprocals of each other).
- **Neither**: If the slopes are different and not negative reciprocals, the lines are neither parallel nor perpendicular.

**Conclusion:**
- Both lines have the **same slope** ($$ m_1 = m_2 = 7 $$) but different y-intercepts ($$ -2 $$ and $$ 8 $$).
- Therefore, the lines are **parallel**.

**Answer:**  
**Parallel**
The lines are parallel.

\( y=7 x-2 \) \( y=7 x+8 \) Are the lines parallel, perpendicular, or neither? Parallel Perpendicular Neither

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