for each graph, decide if the two lines are parallel, perpendicular, or neither.\ngraph 1\ngraph 2\ngraph…
for each graph, decide if the two lines are parallel, perpendicular, or neither.\ngraph 1\ngraph 2\ngraph 3\ngraph 4\nparallel\nparallel\nparallel\nparallel\nperpendicular\nperpendicular\nperpendicular\nperpendicular\nneither\nneither\nneither\nneither
Answer
Explanation:
Step1: Recall parallel - line property
Parallel lines have the same slope and never intersect.
Step2: Recall perpendicular - line property
Perpendicular lines have slopes that are negative reciprocals of each other and intersect at a 90 - degree angle.
Step3: Analyze Graph 1
The lines intersect and are not at a 90 - degree angle. So they are neither parallel nor perpendicular.
Step4: Analyze Graph 2
The lines have the same slope and do not intersect. They are parallel.
Step5: Analyze Graph 3
The lines intersect and are not at a 90 - degree angle. So they are neither parallel nor perpendicular.
Step6: Analyze Graph 4
The lines intersect at a 90 - degree angle. They are perpendicular.
Answer:
Graph 1: Neither Graph 2: Parallel Graph 3: Neither Graph 4: Perpendicular