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 the angle between lines

The two lines intersect at a right - angle (90 degrees).

Graph 2

• Step1: Check slope and angle

The lines are not parallel (different slopes) and not perpendicular (angle not 90 degrees).

Graph 3

• Step1: Check slope and angle

The lines are not parallel (different slopes) and not perpendicular (product of slopes not - 1).

Graph 4

• Step1: Check parallelism

The lines have the same direction (no intersection if extended), so they are parallel.

Answer:

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