Question

for each graph, decide if the two lines are parallel, perpendicular, or neither.
graph 1
graph 2
graph 3
graph 4
parallel
parallel
parallel
parallel
perpendicular
perpendicular
perpendicular
perpendicular
neither
neither
neither
neither

Explanation:

• Graph 1: Parallel lines are lines in a plane that do not intersect. In Graph 1, the two lines have the same direction and will never meet, so they are parallel.
• Graph 2: The two lines in Graph 2 are not parallel (they have different slopes/directions) and they do not intersect at a right - angle (so they are not perpendicular).
• Graph 3: Perpendicular lines intersect at a right - angle (\(90^{\circ}\)). In Graph 3, the two lines cross each other at a right - angle.
• Graph 4: The two lines in Graph 4 have the same direction and will never meet, so they are parallel.

Answer:

Graph 1: Parallel; Graph 2: Neither; Graph 3: Perpendicular; Graph 4: Parallel