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: Check parallelism

Parallel lines have the same slope and never intersect. Visually, the two lines in Graph 1 do not intersect and have the same "steepness" (implied by their similar orientation).

Graph 2

• Step1: Check for special relationships

The lines in Graph 2 are not parallel (they intersect at a non - right angle). Also, they are not perpendicular (the angle between them is not \(90^{\circ}\)).

Graph 3

• Step1: Check for special relationships

The lines in Graph 3 are not parallel (they intersect at a non - right angle). Also, they are not perpendicular (the angle between them is not \(90^{\circ}\)).

Graph 4

• Step1: Check perpendicularity

Perpendicular lines intersect at a \(90^{\circ}\) angle. Visually, the two lines in Graph 4 intersect at a right angle.

Answer:

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