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Title:

Parallel and Perpendicular Lines

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... the slopes of parallel lines as well as perpendicular lines. ... Perpendicular Lines ... the equation of a line that is perpendicular to y = 2x 3 ... – PowerPoint PPT presentation

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Title: Parallel and Perpendicular Lines


1
Parallel and Perpendicular Lines
  • http//www.wtamu.edu/academic/anns/mps/math/mathla
    b/col_algebra/col_alg_tut28_parpen.htm

2

 

3
 

4
Geometric Interpretation of Slope
Line Slope Example
2-1-5
5
 
 

6
Examples
  • Find the slope of the line that passes through
    the points (-2, 3) and (4, -1).

7
Examples
  • Find the slope of the line that passes through
    the points (7, 4) and (7, -1).

8
Equations of a Line
6x 5y 45


2-1-4
9
Given m 3 (-5, 4)
We write y - 4 3(x 5)
10
y 45
x 10
11
Writing the equation of a line

12
 

 

13
You Try
  • Write an equation for the line in point/slope
    form and slope/intercept form that has slope ½
    and passes through (4, 6).
  • Write you answer in slope intercept form.

14
Parallel and Perpendicular Lines
15
 

16
 
   
17
Examples
  • Find the equation of a line that is parallel to y
    2x 3 and passes through the point (4, 3).
    Write you answer in slope intercept form.

18
Examples
  • Find the equation of a line that is perpendicular
    to y 2x 3 and passes through the point (4,
    3). Write you answer in slope intercept form.

19
Examples
  • Find the equation of a line that is parallel to y
    ½x 9 and passes through the point (3, -1).
    Write you answer in slope intercept form.

20
Examples
  • Find the equation of a line that is perpendicular
    to y -¼ x 3 and passes through the point (0,
    -3). Write you answer in slope intercept form.

21
Examples
  • Find the equation of a line that is parallel to y
    (-3/4)x 3 and passes through the point (1,
    9). Write you answer in slope intercept form.

22
Example
  • Write the equation of the line that is
  • a) parallel to the equation x 4 and passes
    through the point (-3, 19).
  • b) perpendicular to the equation x 4 and passes
    through the point (-3, 19).

23
Assignment
  • 3.6-3.7 Worksheet
  • Chapter Review
  • Chapter 3 Test Friday
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