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:

planation:

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 two lines in Graph 1 intersect but not at a 90 - degree angle. So they are neither parallel nor perpendicular.

Step3: Analyze Graph 2

The two lines in Graph 2 have the same slope and do not intersect. They are parallel.

Step4: Analyze Graph 3

The two lines in Graph 3 intersect but not at a 90 - degree angle. So they are neither parallel nor perpendicular.

Step5: Analyze Graph 4

The two lines in Graph 4 intersect at a 90 - degree angle. They are perpendicular.

Answer:

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