To determine if the lines \( p \) and \( q \) are parallel, we need to examine their slopes.
The equation of line \( p \) is given by: \[ y = \frac{3}{5}x + 2 \] Here, the slope (m) of line \( p \) is \( \frac{3}{5} \).
The equation of line \( q \) is given by: \[ y = -\frac{5}{3}x - 1 \] Here, the slope of line \( q \) is \( -\frac{5}{3} \).
Two lines are parallel if they have the same slope. In this case, the slopes are \( \frac{3}{5} \) and \( -\frac{5}{3} \). Since \( \frac{3}{5} \) is not equal to \( -\frac{5}{3} \), the lines are not parallel.
Therefore, the statement "p || q" is False.
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