Question

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

Explanation:

Step1: Recall line - relationship rules

Parallel lines never intersect and have the same slope. Perpendicular lines intersect at a 90 - degree angle.

Step2: Analyze Graph 1

The lines in Graph 1 intersect at an angle other than 90 degrees. So they are neither parallel nor perpendicular.

Step3: Analyze Graph 2

The lines in Graph 2 intersect at a 90 - degree angle. So they are perpendicular.

Step4: Analyze Graph 3

The lines in Graph 3 intersect at an angle other than 90 degrees. So they are neither parallel nor perpendicular.

Step5: Analyze Graph 4

The lines in Graph 4 never intersect. So they are parallel.

Answer:

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