Question

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

Explanation:

Step1: Recall line - relationship rules

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 intersect at an angle that is not 90 degrees. So they are neither parallel nor perpendicular.

Step3: Analyze Graph 2

The two lines are equidistant and never intersect. They are parallel.

Step4: Analyze Graph 3

The two lines intersect at an angle that is not 90 degrees. So they are neither parallel nor perpendicular.

Step5: Analyze Graph 4

The two lines are equidistant and never intersect. They are parallel.

Answer:

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