4.3E: Exercises
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- Jan 6, 2020
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Practice Makes Perfect
Identify the x- and y- Intercepts on a Graph
In the following exercises, find the x- and y- intercepts on each graph.
Exercise 4.3E.1
- Answer
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(3,0),(0,3)
Exercise 4.3E.2
Exercise 4.3E.3
- Answer
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(5,0),(0,−5)
Exercise 4.3E.4
Exercise 4.3E.5
- Answer
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(−2,0),(0,−2)
Exercise 4.3E.6
Exercise 4.3E.7
- Answer
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(−1,0),(0,1)
Exercise 4.3E.8
Exercise 4.3E.9
- Answer
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(6,0),(0,3)
Exercise 4.3E.10
Exercise 4.3E.11
- Answer
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(0,0)
Exercise 4.3E.12
Find the x- and y- Intercepts from an Equation of a Line
In the following exercises, find the intercepts for each equation.
Exercise 4.3E.13
x+y=4
- Answer
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(4,0),(0,4)
Exercise 4.3E.14
x+y=3
Exercise 4.3E.15
x+y=−2
- Answer
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(−2,0),(0,−2)
Exercise 4.3E.16
x+y=−5
Exercise 4.3E.17
x–y=5
- Answer
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(5,0),(0,−5)
Exercise 4.3E.18
x–y=1
Exercise 4.3E.19
x–y=−3
- Answer
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(−3,0),(0,3)
Exercise 4.3E.20
x–y=−4
Exercise 4.3E.21
x+2y=8
- Answer
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(8,0),(0,4)
Exercise 4.3E.22
x+2y=10
Exercise 4.3E.23
3x+y=6
- Answer
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(2,0),(0,6)
Exercise 4.3E.24
3x+y=9
Exercise 4.3E.25
x–3y=12
- Answer
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(12,0),(0,−4)
Exercise 4.3E.26
x–2y=8
Exercise 4.3E.27
4x–y=8
- Answer
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(2,0),(0,−8)
Exercise 4.3E.28
5x–y=5
Exercise 4.3E.29
2x+5y=10
- Answer
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(5,0),(0,2)
Exercise 4.3E.30
2x+3y=6
Exercise 4.3E.31
3x–2y=12
- Answer
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(4,0),(0,−6)
Exercise 4.3E.32
3x–5y=30
Exercise 4.3E.33
y=13x+1
- Answer
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(-3,0),(0,1)
Exercise 4.3E.34
y=14x−1
Exercise 4.3E.35
y=15x+2
- Answer
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(−10,0),(0,2)
Exercise 4.3E.36
y=13x+4
Exercise 4.3E.37
y=3x
- Answer
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(0,0)
Exercise 4.3E.38
y=-2x
Exercise 4.3E.39
y=-4x
- Answer
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(0,0)
Exercise 4.3E.40
y=5x
Graph a Line Using the Intercepts
In the following exercises, graph using the intercepts.
Exercise 4.3E.41
−x+5y=10
- Answer
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Exercise 4.3E.42
−x+4y=8
Exercise 4.3E.43
x+2y=4
- Answer
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Exercise 4.3E.44
x+2y=6
Exercise 4.3E.45
x+y=2
- Answer
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Exercise 4.3E.46
x+y=5
Exercise 4.3E.47
x+y=−3
- Answer
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Exercise 4.3E.48
x+y=−1
Exercise 4.3E.49
x−y=1
- Answer
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Exercise 4.3E.50
x−y=2
Exercise 4.3E.51
x−y=−4
- Answer
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Exercise 4.3E.52
x−y=−3
Exercise 4.3E.53
4x+y=4
- Answer
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Exercise 4.3E.54
3x+y=3
Exercise 4.3E.55
2x+4y=12
- Answer
-
Exercise 4.3E.56
3x+2y=12
Exercise 4.3E.57
3x−2y=6
- Answer
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Exercise 4.3E.58
5x−2y=10
Exercise 4.3E.59
2x−5y=−20
- Answer
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Exercise 4.3E.60
3x−4y=−12
Exercise 4.3E.61
3x−y=−6
- Answer
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Exercise 4.3E.62
2x−y=−8
Exercise 4.3E.63
y=−2x
- Answer
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Exercise 4.3E.64
y=−4x
Exercise 4.3E.65
y=x
- Answer
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Exercise 4.3E.66
y=3x
Everyday Math
Exercise 4.3E.67
Road trip. Damien is driving from Chicago to Denver, a distance of 1000 miles. The x- axis on the graph below shows the time in hours since Damien left Chicago. The y- axis represents the distance he has left to drive.

- Find the x- and y- intercepts.
- Explain what the x- and y- intercepts mean for Damien.
- Answer
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- (0,1000),(15,0)
- At (0,1000), he has been gone 0 hours and has 1000 miles left. At (15,0), he has been gone 15 hours and has 0 miles left to go.
Exercise 4.3E.68
Road trip. Ozzie filled up the gas tank of his truck and headed out on a road trip. The x- axis on the graph below shows the number of miles Ozzie drove since filling up. The y- axis represents the number of gallons of gas in the truck’s gas tank.

- Find the x- and y- intercepts.
- Explain what the x- and y- intercepts mean for Ozzie.
Writing Exercises
Exercise 4.3E.69
How do you find the x -intercept of the graph of 3x−2y=6?
- Answer
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Answers will vary.
Exercise 4.3E.70
Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation 4x+y=−4? Why?
Exercise 4.3E.71
Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation y=23x−2? Why?
- Answer
-
Answers will vary.
Exercise 4.3E.72
Do you prefer to use the method of plotting points or the method using the intercepts to graph the equation y=6? Why?
Self Check
ⓐ After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

ⓑ What does this checklist tell you about your mastery of this section? What steps will you take to improve?