This document provides 32 examples of graphing lines parallel or perpendicular to a given line through a specific point. Each example varies the position of the point and slope of the given line. The examples cover all possible combinations of points in the four quadrants and lines with positive or negative slopes.

1. Parallel and Perpendicular Lines

2. Overview
This set of tutorials provides 32 examples that involve finding the
equation of a line parallel or perpendicular to a given line and
through a given point.

3. Example 1: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q1 parallel to a line
with positive slope

4. Example 2: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q1 perpendicular to
a line with positive slope

5. Example 3: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q1 parallel to a line
with negative slope

6. Example 4: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q1 perpendicular to
a line with negative slope

7. Example 5: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q2 parallel to a line
with positive slope

8. Example 6: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q2 perpendicular to
a line with positive slope

9. Example 7: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q2 parallel to a line
with negative slope

10. Example 8: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q2 perpendicular to
a line with negative slope

11. Example 9: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q3 parallel to a line
with positive slope

12. Example 10: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q3 perpendicular to
a line with positive slope

13. Example 11: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q3 parallel to a line
with negative slope

14. Example 12: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q3 perpendicular to
a line with negative slope

15. Example 13: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q4 parallel to a line
with positive slope

16. Example 14: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q4 perpendicular to
a line with positive slope

17. Example 15: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q4 parallel to a line
with negative slope

18. Example 16: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point in Q4 perpendicular to
a line with negative slope

19. Example 17: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the positive x-axis
parallel to a line with positive slope

20. Example 18: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the positive x-axis
perpendicular to a line with positive slope

21. Example 19: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the positive x-axis
parallel to a line with negative slope

22. Example 20: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the positive x-axis
perpendicular to a line with negative slope

23. Example 21: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the negative x-axis
parallel to a line with positive slope

24. Example 22: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the negative x-axis
perpendicular to a line with positive slope

25. Example 23: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the negative x-axis
parallel to a line with negative slope

26. Example 24: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the negative x-axis
perpendicular to a line with negative slope

27. Example 25: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the positive y-axis
parallel to a line with positive slope

28. Example 26: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the positive y-axis
perpendicular to a line with positive slope

29. Example 27: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the positive y-axis
parallel to a line with negative slope

30. Example 28: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the positive y-axis
perpendicular to a line with negative slope

31. Example 29: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the negative y-axis
parallel to a line with positive slope

32. Example 30: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the negative y-axis
perpendicular to a line with positive slope

33. Example 31: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the negative y-axis
parallel to a line with negative slope

34. Example 32: Graph a parallel or perpendicular line through a given
point, under the following conditions: A point on the negative y-axis
perpendicular to a line with negative slope