Question

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

Explanation:

Step1: Recall line - relationship definitions

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

Step2: Analyze Graph 1

The two lines in Graph 1 do not intersect and are equidistant throughout, 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: Parallel
Graph 2: Neither
Graph 3: Perpendicular
Graph 4: Neither