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:

Step1: Recall line - relationship rules

Parallel lines have the same slope and never intersect. Perpendicular lines have slopes that are negative - reciprocals of each other and intersect at a 90 - degree angle.

Step2: Analyze Graph 1

The lines in Graph 1 intersect at a 90 - degree angle, so they are perpendicular.

Step3: Analyze Graph 2

The lines in Graph 2 have different slopes and are not perpendicular, so they are neither parallel nor perpendicular.

Step4: Analyze Graph 3

The lines in Graph 3 are always the same distance apart and never intersect, so they are parallel.

Step5: Analyze Graph 4

The lines in Graph 4 have different slopes and are not perpendicular, so they are neither parallel nor perpendicular.

Answer:

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