Parallel And Perpendicular Lines Worksheet Page 16
ADVERTISEMENT
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50Slopes of Lines
•
Find slopes of lines.
•
Use slope to identify parallel and perpendicular lines.
Vocabulary
is slope used in transportation?
•
slope
Traffic signs are often used to alert drivers to road
•
rate of change
conditions. The sign at the right indicates a hill with a
6% grade. This means that the road will rise or fall
6 feet vertically for every 100 horizontal feet traveled.
SLOPE OF A LINE
y
The
slope
of a line is the ratio
of its vertical rise to its horizontal run.
v
e
r
t
ic
a
l
r
i
s
e
slope
vertical rise
ho
r
i
z
o
n
t
a
l
r
u
n
horizontal run
In a coordinate plane, the slope of a line is the ratio of the
O
x
change along the y-axis to the change along the x-axis.
Slope
TEACHING TIP
The slope m of a line containing two points with coordinates (x
, y
) and (x
, y
) is
1
1
2
2
given by the formula
y
y
2
1
m
, where x
x
.
1
2
x
x
2
1
The slope of a line indicates whether the line rises to the right, falls to the right, or
is horizontal. The slope of a vertical line, where x
x
, is undefined.
1
2
Find the Slope of a Line
Example
Example
1
1
Find the slope of each line.
Study Tip
a.
b.
y
y
Slope
( 1,
)
2
Lines with positive slope
( 4,
)
rise as you move from left
0
to right, while lines with
O
x
O
x
( 0,
)
1
negative slope fall as you
move from left to right.
( 3,
)
2
r
i
s
e
Use the
method.
Use the slope formula.
r
u
n
From ( 3,
2) to ( 1, 2),
Let ( 4, 0) be (x
, y
) and
1
1
go up 4 units and right 2 units.
(0,
1) be (x
, y
).
2
2
y
y
r
i
s
e
4
2
1
or 2
m
r
u
n
2
x
x
2
1
1
0
1
or
0
(
4)
4
Lesson 3-3 Slopes of Lines 139
ADVERTISEMENT
0 votes
Related Articles
Related forms
Related Categories
Parent category: Education