Question

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

Explanation:

• Graph 1: Parallel lines are lines in a plane that do not intersect. In Graph 1, the two lines have the same slope (direction) and will never meet, so they are parallel.
• Graph 2: The two lines in Graph 2 are not parallel (they have different slopes) and they do not intersect at a right - angle (so they are not perpendicular).
• Graph 3: The two lines in Graph 3 are horizontal. Horizontal lines are parallel to each other as they have the same slope (\(m = 0\)).
• Graph 4: Perpendicular lines intersect at a right - angle (\(90^{\circ}\)). The two lines in Graph 4 intersect at a right - angle.

Answer:

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