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:

Step1: Recall parallel - line property

Parallel lines have the same slope and never intersect.

Step2: Recall perpendicular - line property

Perpendicular lines have slopes that are negative reciprocals and intersect at a 90 - degree angle.

Step3: Analyze Graph 1

The lines intersect and are not at a 90 - degree angle.

Step4: Analyze Graph 2

The lines intersect and are not at a 90 - degree angle.

Step5: Analyze Graph 3

The lines have the same slope and do not intersect.

Step6: Analyze Graph 4

The lines intersect at a 90 - degree angle.

Answer:

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