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 - perpendicular rules

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

Step2: Analyze Graph 1

The lines intersect but not at a 90 - degree angle.

Step3: Analyze Graph 2

The lines intersect at a 90 - degree angle.

Step4: Analyze Graph 3

The lines never intersect.

Step5: Analyze Graph 4

The lines intersect but not at a 90 - degree angle.

Answer:

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