Based on the image, the task is to determine if the two lines in each graph are parallel, perpendicular, or neither.

Here's the analysis of each graph:

1. Graph 1: The two lines are parallel (selected as Parallel).
2. Graph 2: The two lines are perpendicular (selected as Perpendicular).
3. Graph 3: The lines are neither parallel nor perpendicular (selected as Neither).
4. Graph 4: The two lines are parallel (selected as Parallel).

It looks like the correct options are already selected for each graph.

Would you like further explanation on any of these? Here are some questions for deeper exploration:

1. How can you mathematically prove if two lines are parallel?
2. What is the slope relationship between perpendicular lines?
3. How can you determine if two lines are neither parallel nor perpendicular?
4. How do line orientations impact their parallelism or perpendicularity?
5. What real-world applications use concepts of parallel and perpendicular lines?

Tip: Parallel lines have the same slope, while perpendicular lines have slopes that are negative reciprocals.