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: Both lines are vertical, so they have identical slopes (undefined), meaning they never intersect and are parallel.
• Graph 2: The two lines intersect at a right angle (90 degrees), so they are perpendicular.
• Graph 3: The lines have different slopes and do not intersect at a right angle, so they are neither parallel nor perpendicular.
• Graph 4: Both lines are horizontal, so they have identical slopes (0), meaning they never intersect and are parallel.

Answer:

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