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 same slope, perpendicular lines have slopes that are negative reciprocals.

Step2: Analyze Graph 1

Lines intersect at non - right angle, so neither parallel nor perpendicular.

Step3: Analyze Graph 2

Lines have same direction, so they are parallel.

Step4: Analyze Graph 3

Lines intersect at a right angle, so they are perpendicular.

Step5: Analyze Graph 4

Lines intersect at non - right angle, so neither parallel nor perpendicular.

Answer:

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