To determine whether the lines \( \text{lineu} \) and \( \text{linev} \) are parallel or perpendicular, we can compare their slopes.
The slope of \( \text{lineu} \) is given as \( \frac{7}{4} \).
The slope of \( \text{linev} \) is given as \( \frac{4}{7} \).
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Parallel Lines: Two lines are parallel if their slopes are equal.
- Here, \( \frac{7}{4} \neq \frac{4}{7} \), so the lines are not parallel.
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Perpendicular Lines: Two lines are perpendicular if the product of their slopes is \(-1\).
- Let's find the product of the slopes: \[ \left(\frac{7}{4}\right) \times \left(\frac{4}{7}\right) = \frac{7 \cdot 4}{4 \cdot 7} = \frac{28}{28} = 1 \] Since the product is not \(-1\), the lines are not perpendicular.
In conclusion, \( \text{lineu} \) and \( \text{linev} \) are neither parallel nor perpendicular.