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## 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
b/col_algebra/col_alg_tut28_parpen.htm

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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
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Given m 3 (-5, 4)
We write y - 4 3(x 5)
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y 45
x 10
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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
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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