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 parallel - lines property

Parallel lines never intersect and have same slope.

Step2: Recall perpendicular - lines property

Perpendicular lines intersect at right - angles and the product of their slopes is - 1.

Step3: Analyze Graph 1

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

Step4: Analyze Graph 2

The two lines in Graph 2 intersect but not at right - angles, so they are neither parallel nor perpendicular.

Step5: Analyze Graph 3

The two lines in Graph 3 intersect but not at right - angles, so they are neither parallel nor perpendicular.

Step6: Analyze Graph 4

The two lines in Graph 4 intersect at a right - angle, so they are perpendicular.

Answer:

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