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: Analyze the angle between lines

The lines intersect at a right - angle.

Graph 2

• Step1: Analyze the angle between lines

The lines intersect at an angle that is not \(90^{\circ}\) and they are not parallel.

Graph 3

• Step1: Analyze the direction of lines

The lines have the same direction and will never meet.

Graph 4

• Step1: Analyze the angle between lines

The lines intersect at an angle that is not \(90^{\circ}\) and they are not parallel.

Answer:

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