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To determine if lines \( m \) and \( n \) are parallel, perpendicular, or neither, we analyze their slopes.

The slopes of both lines \( m \) and \( n \) are given as \( -\frac{2}{9} \).

### Step-by-Step Solution:
1. **Parallel Lines**: Two lines are parallel if they have the same slope. Here, both lines have a slope of \( -\frac{2}{9} \), which means they are indeed parallel.
  
2. **Perpendicular Lines**: Two lines are perpendicular if the product of their slopes is \( -1 \). However, since both lines have the same slope, they cannot be perpendicular.

### Conclusion:
Since lines \( m \) and \( n \) have identical slopes, they are **parallel**.

Would you like further details or have questions on this topic?

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### Related Questions:
1. If the slope of line \( m \) was \( \frac{9}{2} \), would it be perpendicular to line \( n \) with slope \( -\frac{2}{9} \)?
2. How do we determine if two lines are parallel when given their equations?
3. If a third line had a slope of \( \frac{2}{9} \), would it be parallel, perpendicular, or neither to line \( m \)?
4. What is the slope-intercept form of a line equation, and how does it help determine parallelism?
5. Can two lines be parallel if their slopes are reciprocals of each other?

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### Tip:
For two lines to be perpendicular, one line’s slope should be the negative reciprocal of the other.

Line m has a slope of -2/9. Line n has a slope of -2/9. Are line m and line n parallel or perpendicular?

Learn how to determine if two lines are parallel or perpendicular based on their slopes. Given slopes of -2/9 for both lines, find out the conditions for parallelism and perpendicularity. Suitable for Grade 8 math students.

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