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 - lines definition

Parallel lines have the same slope and never intersect.

Step2: Recall perpendicular - lines definition

Perpendicular lines intersect at a 90 - degree angle and the product of their slopes is - 1.

Step3: Analyze Graph 1

The two lines in Graph 1 are parallel as they have the same direction and will never intersect.

Step4: Analyze Graph 2

The two lines in Graph 2 are neither parallel (they intersect) nor perpendicular (the angle of intersection is not 90 degrees).

Step5: Analyze Graph 3

The two lines in Graph 3 are perpendicular as they intersect at a 90 - degree angle.

Step6: Analyze Graph 4

The two lines in Graph 4 are neither parallel (they intersect) nor perpendicular (the angle of intersection is not 90 degrees).

Answer:

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