1. PERPENDICULAR
LINES

2. Perpendicular Lines Lines that intersect to form a 90o angle.
Slopes are opposite reciprocals of each other

3. Examples of Slopes that are Perpendicular

4. Examples of Slopes that are Perpendicular

5. Examples of Slopes that are Perpendicular

6. Writing Equations for Perpendicular Lines
Write the equation of the line perpendicular to the given line through the given point.

7. Writing Equations for Perpendicular Lines
Write the equation of the line perpendicular to the given line through the given point.

8. Writing Equations for Perpendicular Lines
Write the equation of the line perpendicular to the given line through the given point.
Find the slope of the given line. 

9. Writing Equations for Perpendicular Lines
Write the equation of the line perpendicular to the given line through the given point.
Find the slope of the given line.  -2

10. Writing Equations for Perpendicular Lines
Write the equation of the line perpendicular to the given line through the given point.
Find the slope of the given line.  -2
Write the slope perpendicular to the given line. 

11. Writing Equations for Perpendicular Lines
Write the equation of the line perpendicular to the given line through the given point.
Find the slope of the given line.  -2
Write the slope perpendicular to the given line.  ½

12. Writing Equations for Perpendicular Lines
Write the equation of the line perpendicular to the given line through the given point.
Find the slope of the given line.  -2
Write the slope perpendicular to the given line.  ½
Find the y-intercept (point-slope form or solve for b).

13. Point – slope form
Solve for b

14. Point – slope form
Solve for b

15. Point – slope form
Solve for b

16. Point – slope form
Solve for b

17. Solve for b Point – slope form
Either method will work!!! Pick the one best for you.

18. Examples
Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

19. Examples
Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

20. Examples
Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

21. Examples
Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

22. Examples
Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

23. Examples
Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

24. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

25. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

26. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

27. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

28. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

29. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

30. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

31. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

32. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

33. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

34. Find the equation of the line in slope-intercept form that is perpendicular to the given equation through the given point.

35. Determining if parallel, perpendicular, or neither

36. Determining if parallel, perpendicular, or neither
You must determine what the slope for each line is, then compare.

37. Determining if parallel, perpendicular, or neither
Slopes are the same (3).
These lines are parallel.

38. Determining if parallel, perpendicular, or neither
Slopes are the same (3).
These lines are parallel.
Slopes are opposites.
These lines are neither.

39. Determining if parallel, perpendicular, or neither
Slopes are the same (3).
These lines are parallel.
Slopes are opposites.
These lines are neither.
Slopes are the same (0).
These are parallel.

40. Assignment
6.5B: 19 – 41, 44, 45