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Mathematics LibreTexts

8.E: Review Exercises

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Chapter 4 Review Exercises

Rectangular Coordinate System

Plot Points in a Rectangular Coordinate System

In the following exercises, plot each point in a rectangular coordinate system.

Exercise 8.E.1
  1. (−1,−5)
  2. (−3,4)
  3. (2,−3)
  4. (1,52)
Exercise 8.E.2
  1. (4,3)
  2. (−4,3)
  3. (−4,−3)
  4. (4,−3)
Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 6 to 6. The point (4, 3) is plotted and labeled "a". The point (negative 4, 3) is plotted and labeled "b". The point (negative 4, negative 3) is plotted and labeled "c". The point (4, negative 3) is plotted and labeled “d”.

Exercise 8.E.3
  1. (−2,0)
  2. (0,−4)
  3. (0,5)
  4. (3,0)
Exercise 8.E.4
  1. (2,32)
  2. (3,43)
  3. (13,4)
  4. (12,5)
Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 6 to 6. The point (2, three halves) is plotted and labeled "a". The point (3, four thirds) is plotted and labeled "b". The point (one third, negative 4) is plotted and labeled "c". The point (one-half, negative 5) is plotted and labeled “d”.

Identify Points on a Graph

In the following exercises, name the ordered pair of each point shown in the rectangular coordinate system.

Exercise 8.E.5

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 6 to 6. The point (5, 3) is plotted and labeled "a". The point (2, negative 1) is plotted and labeled "b". The point (negative 3, negative 2) is plotted and labeled "c". The point (negative 1, 4) is plotted and labeled “d”.

Exercise 8.E.6

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 6 to 6. The point (2, 0) is plotted and labeled "a". The point (0, negative 5) is plotted and labeled "b". The point (negative 4, 0) is plotted and labeled "c". The point (0, 3) is plotted and labeled “d”.

Answer

a. (2,0) 

b (0,−5) 

c (−4.0) 

d (0,3)

Verify Solutions to an Equation in Two Variables

In the following exercises, which ordered pairs are solutions to the given equations?

Exercise 8.E.7

5x+y=10

  1. (5,1)
  2. (2,0)
  3. (4,−10)
Exercise 8.E.8

y=6x2

  1. (1,4)
  2. (13,0)
  3. (6,−2)
Answer

1, 2

Complete a Table of Solutions to a Linear Equation in Two Variables

In the following exercises, complete the table to find solutions to each linear equation.

Exercise 8.E.9

y=4x1

x y (x,y)
0    
1    
-2    
Exercise 8.E.10

y=12x+3

x y (x,y)
0    
4    
-2    
Answer
x y (x,y)
0 3 (0,3)
4 1 (4, 1)
−2 4 (−2,4)
Exercise 8.E.11

x+2y=5

x y (x,y)
  0  
1    
-1    
Exercise 8.E.12

3x+2y=6

x y (x,y)
0    
  0  
-2    
Answer
x y (x,y)
0 −3 (0,−3)
2 0 (2,0)
−2 −6 (−2,−6)

Find Solutions to a Linear Equation in Two Variables

In the following exercises, find three solutions to each linear equation.

Exercise 8.E.13

x+y=3

Exercise 8.E.14

x+y=4

Answer

Answers will vary.

Exercise 8.E.15

y=3x+1

Exercise 8.E.16

y=x1

Answer

Answers will vary.

Graphing Linear Equations

Recognize the Relation Between the Solutions of an Equation and its Graph

In the following exercises, for each ordered pair, decide:

  1. Is the ordered pair a solution to the equation?
  2. Is the point on the line?
Exercise 8.E.17

y=x+4

(0,4) (−1,3)

(2,2) (−2,6)

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative x plus 4 is plotted as an arrow extending from the top left toward the bottom right.

Exercise 8.E.18

y=23x1
(0,1)(3,1)
(3,3)(6,4)

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals two-thirds x minus 1 is plotted as an arrow extending from the bottom left toward the top right.

Answer
  1. yes; yes 
  2. yes; no

Graph a Linear Equation by Plotting Points

In the following exercises, graph by plotting points.

Exercise 8.E.19

y=4x3

Exercise 8.E.20

y=3x

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative 3 x is plotted as an arrow extending from the top left toward the bottom right.

Exercise 8.E.21

y=12x+3

Exercise 8.E.22

xy=6

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line x minus y equals 6 is plotted as an arrow extending from the bottom left toward the top right.

Exercise 8.E.23

2x+y=7

Exercise 8.E.24

3x2y=6

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line 3 x minus 2 y equals 6 is plotted as an arrow extending from the bottom left toward the top right.

Graph Vertical and Horizontal lines

In the following exercises, graph each equation.

Exercise 8.E.25

y=2

Exercise 8.E.26

x=3

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line x equals 3 is plotted as a vertical line.

In the following exercises, graph each pair of equations in the same rectangular coordinate system.

Exercise 8.E.27

y=2x and y=2

Exercise 8.E.28

y=43x and y=43

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals four-thirds x is plotted as an arrow extending from the bottom left toward the top right. The line y equals four-thirds is plotted as a horizontal line.

Graphing with Intercepts

Identify the x- and y-Intercepts on a Graph

In the following exercises, find the x- and y-intercepts.

Exercise 8.E.29

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (negative 4, 0) and (0, 4) is plotted.

Exercise 8.E.30

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (3, 0) and (0, 3) is plotted.

Answer

(3,0) and (0,3)

Find thex- and y-Intercepts from an Equation of a Line

In the following exercises, find the intercepts of each equation.

Exercise 8.E.31

x+y=5

Exercise 8.E.32

xy=1

Answer

(1,0),(0,1)

Exercise 8.E.33

x+2y=6

Exercise 8.E.34

2x+3y=12

Answer

(6,0),(0,4)

Exercise 8.E.35

y=34x12

Exercise 8.E.36

y=3x

Answer

(0,0)

Graph a Line Using the Intercepts

In the following exercises, graph using the intercepts.

Exercise 8.E.37

x+3y=3

Exercise 8.E.38

x+y=2

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line x plus y equals negative 2 is plotted as an arrow extending from the top left toward the bottom right.

Exercise 8.E.39

xy=4

Exercise 8.E.40

2xy=5

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line 2 x minus y equals 5 is plotted as an arrow extending from the bottom left toward the top right.

Exercise 8.E.41

2x4y=8

Exercise 8.E.42

y=2x

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals 2 x is plotted as an arrow extending from the bottom left toward the top right.

Slope of a Line

Use Geoboards to Model Slope

In the following exercises, find the slope modeled on each geoboard.

Exercise 8.E.43

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 4 and the point in column 4 row 2.

Exercise 8.E.44

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 5 and the point in column 4 row 1.

Answer

43

Exercise 8.E.45

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 3 and the point in column 4 row 4.

Exercise 8.E.46

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 2 and the point in column 4 row 4.

Answer

23

Exercise 8.E.47

13

Exercise 8.E.48

32

Answer

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 1 row 5 and the point in column 3 row 2.

Exercise 8.E.49

23

Exercise 8.E.50

12

Answer

The figure shows a grid of evenly spaced dots. There are 5 rows and 5 columns. There is a rubber band style loop connecting the point in column 2 row 2 and the point in column 3 row 3.

Use m= rise  run  to find the Slope of a Line from its Graph

In the following exercises, find the slope of each line shown.

Exercise 8.E.51

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (negative 1, 3), (0, 0), and (1, negative 3) is plotted.

Exercise 8.E.52

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (negative 4, 0) and (0, 4) is plotted.

Answer

1

Exercise 8.E.53

alt

Exercise 8.E.54

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (negative 3, 6) and (5, 2) is plotted.

Answer

12

Find the Slope of Horizontal and Vertical Lines

In the following exercises, find the slope of each line.

Exercise 8.E.55

y=2

Exercise 8.E.56

x=5

Answer

undefined

Exercise 8.E.57

x=3

Exercise 8.E.58

y=1

Answer

0

Use the Slope Formula to find the Slope of a Line between Two Points

In the following exercises, use the slope formula to find the slope of the line between each pair of points.

Exercise 8.E.59

(1,1),(0,5)

Exercise 8.E.60

(3,5),(4,1)

Answer

−6

Exercise 8.E.61

(5,2),(3,2)

Exercise 8.E.62

(2,1),(4,6)

Answer

52

Graph a Line Given a Point and the Slope

In the following exercises, graph each line with the given point and slope.

Exercise 8.E.63

(2,2);m=52

Exercise 8.E.64

(3,4);m=13

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (negative 3, 4) and (0, 3) is plotted.

Exercise 8.E.65

x -intercept 4;m=3

Exercise 8.E.66

y -intercept 1;m=34

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (0, 1) and (4, negative 2) is plotted.

Solve Slope Applications

In the following exercises, solve these slope applications.

Exercise 8.E.67

The roof pictured below has a rise of 10 feet and a run of 15 feet. What is its slope?

The figure shows a person on a ladder using a hammer on the roof of a building.

Exercise 8.E.68

A mountain road rises 50 feet for a 500-foot run. What is its slope?

Answer

110

Intercept Form of an Equation of a Line

Recognize the Relation Between the Graph and the Slope–Intercept Form of an Equation of a Line

In the following exercises, use the graph to find the slope and y-intercept of each line. Compare the values to the equation y=mx+b.

Exercise 8.E.69

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals 4 x minus 1 is plotted from the lower left to the top right.

y=4x1

Exercise 8.E.70

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals two-thirds x plus 4 is plotted from the top left to the bottom right.

y=23x+4

Answer

slope m=23 and y-intercept (0,4)

Identify the Slope and y-Intercept from an Equation of a Line

In the following exercises, identify the slope and y-intercept of each line.

Exercise 8.E.71

y=4x+9

Exercise 8.E.72

y=53x6

Answer

53;(0,6)

Exercise 8.E.73

5x+y=10

Exercise 8.E.74

4x5y=8

Answer

45;(0,85)

Graph a Line Using Its Slope and Intercept

In the following exercises, graph the line of each equation using its slope and y-intercept.

Exercise 8.E.75

y=2x+3

Exercise 8.E.76

y=x1

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative x minus 1 is plotted from the top left to the bottom right.

Exercise 8.E.77

y=25x+3

Exercise 8.E.78

4x3y=12

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line 4 x minus 3 y equals 12 is plotted from the bottom left to the top right.

In the following exercises, determine the most convenient method to graph each line.

Exercise 8.E.79

x=5

Exercise 8.E.80

y=3

Answer

horizontal line

Exercise 8.E.81

2x+y=5

Exercise 8.E.82

xy=2

Answer

intercepts

Exercise 8.E.83

y=x+2

Exercise 8.E.84

y=34x1

Answer

plotting points

Graph and Interpret Applications of Slope–Intercept

Exercise 8.E.85

Katherine is a private chef. The equation C=6.5m+42 models the relation between her weekly cost, C, in dollars and the number of meals, m, that she serves.

  1. Find Katherine’s cost for a week when she serves no meals.
  2. Find the cost for a week when she serves 14 meals.
  3. Interpret the slope and C-intercept of the equation.
  4. Graph the equation.
Exercise 8.E.86

Marjorie teaches piano. The equation P=35h250 models the relation between her weekly profit, P, in dollars and the number of student lessons, s, that she teaches.

  1. Find Marjorie’s profit for a week when she teaches no student lessons.
  2. Find the profit for a week when she teaches 20 student lessons.
  3. Interpret the slope and P-intercept of the equation.
  4. Graph the equation.
Answer
  1. $250
  2. $450
  3. The slope, 35, means that Marjorie’s weekly profit, P, increases by $35 for each additional student lesson she teaches. The P-intercept means that when the number of lessons is 0, Marjorie loses $250. 

The graph shows the x y-coordinate plane where h is plotted along the x-axis and P is potted along the y-axis. The x-axis runs from 0 to 24. The y-axis runs from negative 300 to 500. The line P equals 35 h minus 250 is plotted from the bottom left to the top right.

Use Slopes to Identify Parallel Lines

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel.

Exercise 8.E.87

4x3y=1;y=43x3

Exercise 8.E.88

2xy=8;x2y=4

Answer

not parallel

Use Slopes to Identify Perpendicular Lines

In the following exercises, use slopes and y-intercepts to determine if the lines are perpendicular.

Exercise 8.E.89

y=5x1;10x+2y=0

Exercise 8.E.90

3x2y=5;2x+3y=6

Answer

perpendicular

Find the Equation of a Line

Find an Equation of the Line Given the Slope and y-Intercept

In the following exercises, find the equation of a line with given slope and y-intercept. Write the equation in slope–intercept form.

Exercise 8.E.91

slope 13 and y-intercept (0,6)

Exercise 8.E.92

slope 5 and y-intercept (0,3)

Answer

y=5x3

Exercise 8.E.93

slope 0 and y-intercept (0,4)

Exercise 8.E.94

slope 2 and y-intercept (0,0)

Answer

y=2x

In the following exercises, find the equation of the line shown in each graph. Write the equation in slope–intercept form.

Exercise 8.E.95

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals 2 x plus 1 is plotted from the bottom left to the top right.

Exercise 8.E.96

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative 3 x plus 5 is plotted from the top left to the bottom right.

Answer

y=3x+5

Exercise 8.E.97

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals three-fourths x minus 2 is plotted from the bottom left to the top right.

Exercise 8.E.98

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative 4 is plotted as a horizontal line.

Answer

y=4

Find an Equation of the Line Given the Slope and a Point

In the following exercises, find the equation of a line with given slope and containing the given point. Write the equation in slope–intercept form.

Exercise 8.E.99

m=14, point (8,3)

Exercise 8.E.100

m=35, point (10,6)

Answer

y=35x

Exercise 8.E.101

Horizontal line containing (2,7)

Exercise 8.E.102

m=2, point (1,3)

Answer

y=2x5

Find an Equation of the Line Given Two Points

In the following exercises, find the equation of a line containing the given points. Write the equation in slope–intercept form.

Exercise 8.E.103

(2,10) and (2,2)

Exercise 8.E.104

(7,1) and (5,0)

Answer

y=12x52

Exercise 8.E.105

(3,8) and (3,4)

Exercise 8.E.106

(5,2) and (1,2)

Answer

y=2

Find an Equation of a Line Parallel to a Given Line

In the following exercises, find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form.

Exercise 8.E.107

line y=3x+6, point (1,5)

Exercise 8.E.108

line 2x+5y=10, point (10,4)

Answer

y=25x+8

Exercise 8.E.109

line x=4, point (2,1)

Exercise 8.E.110

line y=5, point (4,3)

Answer

y=3

Find an Equation of a Line Perpendicular to a Given Line

In the following exercises, find an equation of a line perpendicular to the given line and contains the given point. Write the equation in slope–intercept form.

Exercise 8.E.111

line y=45x+2, point (8,9)

Exercise 8.E.112

line 2x3y=9, point (4,0)

Answer

y=32x6

Exercise 8.E.113

line y=3, point (1,3)

Exercise 8.E.114

line x=5 point (2,1)

Answer

y=1

Graph Linear Inequalities

Verify Solutions to an Inequality in Two Variables

In the following exercises, determine whether each ordered pair is a solution to the given inequality.

Exercise 8.E.115

Determine whether each ordered pair is a solution to the inequality y<x3:

  1. (0,1)
  2. (2,4)
  3. (5,2)
  4. (3,1)
  5. (1,5)
Exercise 8.E.116

Determine whether each ordered pair is a solution to the inequality x+y>4:

  1. (6,1)
  2. (3,6)
  3. (3,2)
  4. (5,10)
  5. (0,0)
Answer
  1. yes 
  2. no 
  3. yes
  4. yes 
  5. no

Recognize the Relation Between the Solutions of an Inequality and its Graph

In the following exercises, write the inequality shown by the shaded region.

Exercise 8.E.117

Write the inequality shown by the graph with the boundary line y=x+2.

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative x plus 2 is plotted as a solid line extending from the top left toward the bottom right. The region below the line is shaded.

Exercise 8.E.118

Write the inequality shown by the graph with the boundary line y=23x3

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals two-thirds x minus 3 is plotted as a dashed line extending from the bottom left toward the top right. The region above the line is shaded.

Answer

y>23x3

Exercise 8.E.119

Write the inequality shown by the shaded region in the graph with the boundary line x+y=4.

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line x plus y equals negative 4 is plotted as a dashed line extending from the top left toward the bottom right. The region above the line is shaded.

Exercise 8.E.120

Write the inequality shown by the shaded region in the graph with the boundary line x2y=6.

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line x minus 2 y equals 6 is plotted as a solid line extending from the bottom left toward the top right. The region below the line is shaded.

Answer

x2y6

Graph Linear Inequalities

In the following exercises, graph each linear inequality.

Exercise 8.E.121

Graph the linear inequality y>25x4

Exercise 8.E.122

Graph the linear inequality y14x+3

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative one-fourth x plus 3 is plotted as a solid line extending from the top left toward the bottom right. The region below the line is shaded.

Exercise 8.E.123

Graph the linear inequality xy5

Exercise 8.E.124

Graph the linear inequality 3x+2y>10

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line 3 x plus 2 y equals 10 is plotted as a dashed line extending from the top left toward the bottom right. The region above the line is shaded.

Exercise 8.E.125

Graph the linear inequality y3x

Exercise 8.E.126

Graph the linear inequality y<6

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals 6 is plotted as a dashed, horizontal line. The region below the line is shaded.

Practice Test

Exercise 8.E.1

Plot each point in a rectangular coordinate system.

  1. (2,5)
  2. (1,3)
  3. (0,2)
  4. (4,32)
  5. (5,0)
Exercise 8.E.2

Which of the given ordered pairs are solutions to the equation 3xy=6?

  1. (3,3)
  2. (2,0)
  3. (4,6)
Answer
  1. yes 
  2. yes 
  3. no
Exercise 8.E.3

Find three solutions to the linear equation y=2x4

Exercise 8.E.4

Find the x- and y-intercepts of the equation 4x3y=12

Answer

(3,0),(0,4)

Find the slope of each line shown.

Exercise 8.E.5

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A line passing through the points (negative 5, 2) and (0, negative 1) is plotted from the top left toward the bottom right.

Exercise 8.E.6

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A vertical line passing through the point (2, 0) is plotted.

Answer

undefined

Exercise 8.E.7

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. A horizontal line passing through the point (0, 5) is plotted.

Exercise 8.E.8

Find the slope of the line between the points (5,2) and (1,4)

Answer

1

Exercise 8.E.9

Graph the line with slope 12 containing the point (3,4)

Graph the line for each of the following equations.

Exercise 8.E.10

y=53x1

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals five-thirds x minus 1 is plotted. The line passes through the points (0, negative 1) and (three-fifths, 0).

Exercise 8.E.11

y=x

Exercise 8.E.12

xy=2

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line x minus y equals 2 is plotted. The line passes through the points (0, negative 2) and (2, 0).

Exercise 8.E.13

4x+2y=8

Exercise 8.E.14

y=2

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals 2 is plotted as a horizontal line passing through the point (0, 2).

Exercise 8.E.15

x=3

Find the equation of each line. Write the equation in slope–intercept form.

Exercise 8.E.16

slope 34 and y-intercept (0,2)

Answer

y=34x2

Exercise 8.E.17

m=2, point (3,1)

Exercise 8.E.18

containing (10,1) and (6,1)

Answer

y=12x4

Exercise 8.E.19

parallel to the line y=23x1, containing the point (3,8)

Exercise 8.E.20

perpendicular to the line y=54x+2, containing the point (10,3)

Answer

y=45x5

Exercise 8.E.21

Write the inequality shown by the graph with the boundary line y=x3.

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative x minus 3 is plotted. The solid line passes through the points (negative 3, 0) and (0, negative 3).

Graph each linear inequality.

Exercise 8.E.22

y>32x+5

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals three-halves x plus 5 is plotted. The dashed line passes through the points (0, 5) and (2, 8).

Exercise 8.E.23

xy4

Exercise 8.E.24

y5x

Answer

The graph shows the x y-coordinate plane. The x- and y-axes each run from negative 7 to 7. The line y equals negative 5 x is plotted. The solid line passes through the points (0, 0) and (1, negative 5).

Exercise 8.E.1

y<3


This page titled 8.E: Review Exercises is shared under a CC BY license and was authored, remixed, and/or curated by OpenStax.

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