Question

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

Explanation:

Step1: Recall line - relationship definitions

Parallel lines never intersect and have the same slope. Perpendicular lines intersect at a 90 - degree angle and the product of their slopes is - 1.

Step2: Analyze Graph 1

The two lines in Graph 1 never intersect, so they are parallel.

Step3: Analyze Graph 2

The two lines in Graph 2 intersect but not at a 90 - degree angle, so they are neither parallel nor perpendicular.

Step4: Analyze Graph 3

The two lines in Graph 3 intersect at a 90 - degree angle, so they are perpendicular.

Step5: Analyze Graph 4

The two lines in Graph 4 intersect but not at a 90 - degree angle, so they are neither parallel nor perpendicular.

Answer:

Graph 1: C. Parallel
Graph 2: A. Neither
Graph 3: B. Perpendicular
Graph 4: A. Neither