Name _________________________________________________ Class _______________ Date _______________
Practice
5-3
The Slope of a Line
5-3
The Slope of a Line
2.Find the slope of the line.
1.Find the slope of the line shown
on the graph.
3.Find the slope of the line through the points (–3,–12) and (1,8).
4.Find the slope of the line through the points (–2, 3) and (1,–3).
5.Line 1 passes through the points (–2,–7) and (3,3). Line 2 passes through the
points (5,1) and (9,1).
a) Find the slope of each line.
b) Which line has the greater slope?
❍❍ A. Line 2 has the greater slope.
❍❍ B. They both have the same slope.
❍❍ C. Line 1 has the greater slope.
6.A contractor is roofing a house. The
contractor considers a roof to be steep
when the roof rises 7 in. or more for
every 12 in. it runs. The following graph
is a model of how steep the roof is. Does
the contractor believe the roof is steep?
What is the slope of the roof? Fill in
the answer to complete your choice.
❍❍ A. No, the contractor does not
believe the roof is steep because
the slope of the roof is _______.
❍❍ B. Yes, the contractor believes the
roof is steep because the slope of
the roof is _______.
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Practice 5-3
1
Homework K
7.Flying The graph represents an airplane
descending. The y-axis represents the
number of feet the plane has
descended, and the x-axis represents
elapsed time in minutes. Each y unit
represents 1,000 ft. Find the slope of
the line.
8.a)Writing What is the slope of the line which goes through the points
(–2,–5) and (1,7)?
b) Explain how the formula for the slope of a line relates to the graph.
9. a) Mental Math Using the slope formula, find the slope of the line through
the points (0, 0) and (2, 4).
b) Explain how you can use mental math to find the slope of the line.
10. Error Analysis A problem asks the students to find the slope of the line that
passes through the points (–5,13), and (5,–7). Joy says that the slope of the
line is - 1 .
2
a) Find the slope of the line.
b) What error might Joy have made?
❍❍ A. Joy chose the wrong first y-coordinate after selecting the first
x-coordinate.
change in x-coordinates
❍❍ B. Joy set the formula up as
.
change in y-coordinates
❍❍ C. Joy subtracted x-coordinates from y-coordinates.
❍❍ D. Joy chose the wrong first x-coordinate after selecting the first
y-coordinate.
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Practice 5-3
2
Homework K
11. a) Reasoning Find the slope of each line of the graphs.
b) Which graph has the greater slope?
❍❍ A. They both have the same slope.
❍❍ B. Line 1 has the greater slope.
❍❍ C. Line 2 has the greater slope.
c) Explain how you know which graph has the greater slope without doing
any calculations.
12. What is the slope of the line shown on the
graph to the right?
13. The science teacher is showing students
a model rocket. The teacher says for
rise
the rocket to be shot correctly the
run
11 in.
should be from 4 in. up to straight up
(vertical) before the launch. The graph
shows the slope of the rocket before
the launch.
a) Find the slope at which the rocket is
being shot.
b) Will the rocket be shot correctly?
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Practice 5-3
3
Homework K
14. Think About the Process
a) Write the expression for the slope of a
line using any two points.
❍❍ A.
horizontal change
vertical change
❍❍ B.
vertical change
horizontal change
❍❍ C. vertical change × horizontal
change
❍❍ D. vertical change − horizontal
change
b) Find the slope of the line to the right.
15. Think About the Process
a) Find the expression that will correctly find the slope of a line that goes
through the points (−5, 3) and (5, 7).
❍❍ A.
3-7
5 - (-5)
❍❍ C.
3 - (-5)
7-5
❍❍ B.
7-3
-5 - 5
❍❍ D.
7-3
5 - (-5)
b) Find the slope of the line.
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Practice 5-3
4
Homework K
ANSWER
KEY
Practice 5-3: The Slope of a Line
1.2
2.–2
3.5
4.–2
5.a)The slope of Line 1 is 2.
The slope of Line 2 is 0.
b)
C
6.A, 0
7.- 1
2
8.a)4
b)
Answers will vary
9.a)2
b)
Answers will vary
10. a) –2
b)
B
11. a) The slope of Line 1 is 1.
The slope of Line 2 is 2.
b)
C
c)
Answers will vary
12. 1
2
13. a) undefined
b)
Yes
14. a) B
b)
-1
2
15. a) D
2
b)
5
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Practice 5-3
5
Answer Key K