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:

Step1: Analyze Graph 1

Two lines have identical slopes, so they never intersect and maintain equal distance between each other. These are parallel lines.

Step2: Analyze Graph 2

The two lines intersect at a right angle ($90^\circ$). Their slopes are negative reciprocals of each other, so they are perpendicular lines.

Step3: Analyze Graph 3

The lines have different slopes and do not intersect at a right angle. They are neither parallel nor perpendicular.

Step4: Analyze Graph 4

Both are vertical lines, so they have identical undefined slopes and never intersect. These are parallel lines.

Answer:

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