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

Step1: Recall parallel lines definition

Parallel lines are lines in a plane that do not intersect.
In Graph 1, the two lines do not intersect.

Graph 2

Step1: Recall parallel and perpendicular lines definitions

Parallel lines do not intersect. Perpendicular lines intersect at a right - angle (\(90^{\circ}\)).
In Graph 2, the two lines have different slopes (they are not parallel) and do not intersect at a right - angle.

Graph 3

Step1: Recall perpendicular lines definition

Perpendicular lines intersect at a right - angle (\(90^{\circ}\)).
In Graph 3, the two lines intersect at a right - angle.

Graph 4

Step1: Recall parallel and perpendicular lines definitions

Parallel lines do not intersect. Perpendicular lines intersect at a right - angle (\(90^{\circ}\)).
In Graph 4, the two lines have different slopes (they are not parallel) and do not intersect at a right - angle.

Answer:

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