

Lesson 5.8 Slopes of Parallel & Perpendicular Lines
Presentation
•
Mathematics
•
8th - 9th Grade
•
Medium
+2
Standards-aligned
Ashley Harshbarger
Used 13+ times
FREE Resource
19 Slides • 25 Questions
1
Lesson 5.8 Slopes of Parallel & Perpendicular Lines

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Learning Goals:
I can identify and graph parallel and perpendicular lines.
I can write equations to describe lines parallel or perpendicular to a given line.
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Vocab:
Parallel Lines: 2 lines that never touch (intersect) --> They have the same ________________!
Looks like:
4
Review: how to find slope!
5
Multiple Choice
Find the slope of:
(7,1) and (-2,1)
0
-1/2
undefined
-8
6
Multiple Choice
Find the slope of:
(1,8) and (3,12)
2
1/2
9/7
-2
7
Parallel slopes are?...
8
Multiple Choice
9
Multiple Choice
m = 4
10
Multiple Choice
m = 3/4
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Example 1A:
Identify which lines are parallel:
y=2
y=34x−5
y=−3
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Example 1B:
Identify which lines are parallel:
y=−21x+4
x+2y=−4
y−5=3(x−1)
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End of Day 1
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Lesson 5.8 Day 2
Parallel & Perpendicular Lines
First, let's review parallel lines
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Multiple Choice
17
Multiple Choice
18
Multiple Choice
y = 5/7x +2
y = 5/7x - 30
Are these lines parallel?
Yes
No
19
Multiple Choice
Are these two lines parallel?
y = -1/3x - 5
y = 1/3x + 2
Yes
No
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Vocab:
Perpendicular Lines: 2 lines that intersect & form a right angle --> They have ___________________________ slopes!
Looks like:
note: the product of the slopes = -1
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Multiple Choice
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Multiple Choice
What is the slope of a line perpendicular to 5?
5
1/5
-1/5
-5
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Example 3:
Identify which lines are perpendicular:
y=1
y=−4x
y+2=41(x+1)
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Multiple Choice
The following represents slopes of two lines. Which answer choice describes the two lines?
m = 7 and m = -7
Parallel
Perpendicular
Neither
25
Multiple Choice
y = 2/3x + 6
These lines are...
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Multiple Choice
Line 1: (−1, 2), (2, 3)
Line 2: (0, 0), (3, 1)
These two lines are ______________________
Parallel
Perendicular
Neither
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End of Day 2
If have time, continue on
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Write an equation that is parallel to:
y=54x+6
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Write an equation that is perpendicular to:
y=−6x−4
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Example 5A:
Write an equation in slope-intercept form for the line that passes through (4,5) and is parallel to the line described by y = 5x + 10.
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Example 5B:
Write an equation in slope-intercept form for the line that passes through (3,2) and is perpendicular to the line described by y = 3x - 1.
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Multiple Choice
y = -4x + 6 (2, -1)
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Multiple Choice
y = 3x + 2 (3, -4)
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Multiple Choice
The following represents slopes of two lines. Which answer choice describes the two lines?
m=−31 and m=−31 .
Parallel
Perpendicular
Neither
36
Multiple Choice
y = 3/2x + 9
These lines are...
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Want more practice?
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Multiple Choice
y = -6x + 2
These lines are...
39
Multiple Choice
y = 5/7x - 30
These lines are...
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Multiple Choice
m = 3
41
Multiple Choice
m = 5/8
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Multiple Choice
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Multiple Choice
Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)
parallel
perpendicular
neither parallel nor perpendicular
both parallel and perpendicular
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Multiple Choice
y = -1/3x - 5
y = 1/3x + 2
Lesson 5.8 Slopes of Parallel & Perpendicular Lines

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