To determine whether the two lines are parallel or perpendicular, we can compare their slopes.
- The first line has a slope of \(\frac{2}{9}\).
- The second line has a slope of \(-\frac{2}{9}\).
Parallel Lines: Two lines are parallel if their slopes are equal. In this case, \(\frac{2}{9}\) is not equal to \(-\frac{2}{9}\), so the lines are not parallel.
Perpendicular Lines: Two lines are perpendicular if the product of their slopes is \(-1\).
Let's check the product of the slopes:
\[ \left(\frac{2}{9}\right) \times \left(-\frac{2}{9}\right) = -\frac{4}{81} \]
Since \(-\frac{4}{81} \neq -1\), the lines are also not perpendicular.
In conclusion: The lines are neither parallel nor perpendicular.
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