To determine whether Line f and Line g are parallel or perpendicular based on their slopes, we can compare their slopes directly.
Line f has a slope of \(-\frac{5}{8}\) and Line g also has a slope of \(-\frac{5}{8}\).
Parallel Lines: Two lines are parallel if their slopes are equal. Since both Line f and Line g have the same slope of \(-\frac{5}{8}\), they are parallel.
Perpendicular Lines: Two lines are perpendicular if the product of their slopes is \(-1\). Since both lines have the same slope (and thus their product would be positive), they cannot be perpendicular.
Conclusion: Line f and Line g are parallel.