Question

each graph, decide if the two lines are parallel, perpendicular, or neither.graph 1graph 2graph 3graph 4

Explanation:

Graph 1

Step1: Recall parallel lines definition

Parallel lines are lines in a plane that do not intersect.

Step2: Analyze Graph 1

The two lines in Graph 1 do not intersect.

Graph 2

Step1: Recall perpendicular lines definition

Perpendicular lines are lines that intersect at a right angle ($90^{\circ}$).

Step2: Analyze Graph 2

The two lines in Graph 2 intersect at a right angle.

Graph 3

Step1: Recall neither condition

Lines that are not parallel (they intersect) and not perpendicular (the angle of intersection is not $90^{\circ}$) are neither.

Step2: Analyze Graph 3

The two lines intersect but not at a right angle.

Graph 4

Step1: Recall neither condition

Lines that are not parallel (they would intersect if extended) and not perpendicular (the angle of intersection is not $90^{\circ}$) are neither.

Step2: Analyze Graph 4

The two lines are not parallel (they would intersect if extended) and not perpendicular.

Answer:

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