Elementary Algebra

John Redden

Chapter 3 Graphing Lines - all with Video Answers

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Section 1

Rectangular Coordinate System

01:47

Problem 1

Give the coordinates of points $A, B, C, D,$ and $E$.

Brittany Stefanilo

Numerade Educator

01:17

Problem 2

Give the coordinates of points $A, B, C, D,$ and $E$.

Brittany Stefanilo

Numerade Educator

01:40

Problem 3

Give the coordinates of points $A, B, C, D,$ and $E$.

Brittany Stefanilo

Numerade Educator

01:47

Problem 4

Give the coordinates of points $A, B, C, D,$ and $E$.

Brittany Stefanilo

Numerade Educator

01:35

Problem 5

Give the coordinates of points $A, B, C, D,$ and $E$.

Brittany Stefanilo

Numerade Educator

01:36

Problem 6

Give the coordinates of points $A, B, C, D,$ and $E$.

Brittany Stefanilo

Numerade Educator

00:53

Problem 7

Graph the given set of ordered pairs.
$$
\{(-4,5),(-1,1),(-3,-2),(5,-1)\}
$$

Brittany Stefanilo

Numerade Educator

01:00

Problem 8

Graph the given set of ordered pairs.
$$
\{(-15,-10),(-5,10),(15,10),(5,-10)\}
$$

Brittany Stefanilo

Numerade Educator

01:10

Problem 9

Graph the given set of ordered pairs.
$$
\{(-2,5),(10,0),(2,-5),(6,-10)\}
$$

Brittany Stefanilo

Numerade Educator

01:24

Problem 10

Graph the given set of ordered pairs.
$$
\{(-8,3),(-4,6),(0,-6),(6,9)\}
$$

Brittany Stefanilo

Numerade Educator

01:15

Problem 11

Graph the given set of ordered pairs.
$$
\{(-10,5),(20,-10),(30,15),(50,0)\}
$$

Brittany Stefanilo

Numerade Educator

01:32

Problem 12

Graph the given set of ordered pairs.
$$
\{(-53,-12),(-13,12),(23,-1),(53,1)\}
$$

Brittany Stefanilo

Numerade Educator

01:19

Problem 13

Graph the given set of ordered pairs.
$$
\{(-35,-43),(25,43),(1,-23),(0,1)\}
$$

Brittany Stefanilo

Numerade Educator

01:19

Problem 14

Graph the given set of ordered pairs.
$$
\{(-3.5,0),(-1.5,2),(0,1.5),(2.5,-1.5)\}
$$

Brittany Stefanilo

Numerade Educator

01:31

Problem 15

Graph the given set of ordered pairs.
$$
\{(-0.8,0.2),(-0.2,-0.4),(0,-1),(0.6,-0.4)\}
$$

Brittany Stefanilo

Numerade Educator

01:33

Problem 16

Graph the given set of ordered pairs.
$$
\{(-1.2,-1.2),(-0.3,-0.3),(0,0),(0.6,0.6),(1.2,1.2)\}
$$

Brittany Stefanilo

Numerade Educator

01:04

Problem 17

State the quadrant in which the given point lies.
(-3,2)

Brittany Stefanilo

Numerade Educator

01:05

Problem 18

State the quadrant in which the given point lies.
(5,7)

Brittany Stefanilo

Numerade Educator

01:04

Problem 19

State the quadrant in which the given point lies.
(-12,-15)

Brittany Stefanilo

Numerade Educator

01:05

Problem 20

State the quadrant in which the given point lies.
(7,-8)

Brittany Stefanilo

Numerade Educator

01:12

Problem 21

State the quadrant in which the given point lies.
(-3.8,4.6)

Brittany Stefanilo

Numerade Educator

01:10

Problem 22

State the quadrant in which the given point lies.
(17.3,1.9)

Brittany Stefanilo

Numerade Educator

01:07

Problem 23

State the quadrant in which the given point lies.
(-18,-58)

Brittany Stefanilo

Numerade Educator

01:14

Problem 24

State the quadrant in which the given point lies.
(34,-14)

Brittany Stefanilo

Numerade Educator

01:22

Problem 25

State the quadrant in which the given point lies.
$x>0$ and $y<0$

Brittany Stefanilo

Numerade Educator

01:09

Problem 26

State the quadrant in which the given point lies.
$x<0$ and $y<0$

Brittany Stefanilo

Numerade Educator

01:08

Problem 27

State the quadrant in which the given point lies.
$x<0$ and $y>0$

Brittany Stefanilo

Numerade Educator

01:04

Problem 28

State the quadrant in which the given point lies.
$x>0$ and $y>0$

Brittany Stefanilo

Numerade Educator

00:13

Problem 29

What was the average price of a gallon of unleaded gasoline in $2004 ?$

Erika Bustos

Numerade Educator

00:13

Problem 30

What was the average price of a gallon of unleaded gasoline in $1976 ?$

Erika Bustos

Numerade Educator

00:17

Problem 31

In which years were the average price of a gallon of unleaded gasoline $\$ 1.20 ?$

Erika Bustos

Numerade Educator

00:29

Problem 32

What is the price increase of a gallon of gasoline from 1980 to $2008 ?$

Erika Bustos

Numerade Educator

00:33

Problem 33

What was the percentage increase in the price of a gallon of unleaded gasoline from 1976 to $1980 ?$

Erika Bustos

Numerade Educator

01:14

Problem 34

What was the percentage increase in the price of a gallon of unleaded gasoline from 2000 to $2008 ?$

Erika Bustos

Numerade Educator

00:15

Problem 35

What was the average price per pound of all-purpose white flour in $2000 ?$

Erika Bustos

Numerade Educator

00:10

Problem 36

What was the average price per pound of all-purpose white flour in 2008 ?

Erika Bustos

Numerade Educator

00:12

Problem 37

In which year did the price of flour average $\$ 0.25$ per pound?

Erika Bustos

Numerade Educator

00:12

Problem 38

In which years did the price of flour average $\$ 0.20$ per pound?

Erika Bustos

Numerade Educator

00:48

Problem 39

What was the percentage increase in flour from the year 2000 to $2008 ?$

Erika Bustos

Numerade Educator

00:43

Problem 40

What was the percentage increase in flour from the year 1992 to $2000 ?$

Erika Bustos

Numerade Educator

00:33

Problem 41

Given the following data, create a line graph.
The percentage of total high school graduates who enrolled in college.

Erika Bustos

Numerade Educator

00:39

Problem 42

Given the following data, create a line graph.
The average daily temperature given in degrees Fahrenheit in May.

Erika Bustos

Numerade Educator

00:36

Problem 43

Calculate the area of the shape formed by connecting the following set of vertices.
$$
\{(0,0),(0,3),(5,0),(5,3)\}
$$

Karla Conrey

Numerade Educator

00:33

Problem 44

Calculate the area of the shape formed by connecting the following set of vertices.
$$
\{(-1,-1),(-1,1),(1,-1),(1,1)\}
$$

Karla Conrey

Numerade Educator

00:40

Problem 45

Calculate the area of the shape formed by connecting the following set of vertices.
$$
\{(-2,-1),(-2,3),(5,3),(5,-1)\}
$$

Karla Conrey

Numerade Educator

00:45

Problem 46

Calculate the area of the shape formed by connecting the following set of vertices.
$$
\{(-5,-4),(-5,5),(3,5),(3,-4)\}
$$

Karla Conrey

Numerade Educator

00:54

Problem 47

Calculate the area of the shape formed by connecting the following set of vertices.
$$
\{(0,0),(4,0),(2,2)\}
$$

Karla Conrey

Numerade Educator

00:49

Problem 48

Calculate the area of the shape formed by connecting the following set of vertices.
$$
\{(-2,-2),(2,-2),(0,2)\}
$$

Karla Conrey

Numerade Educator

00:50

Problem 49

Calculate the area of the shape formed by connecting the following set of vertices.
$$
\{(0,0),(0,6),(3,4)\}
$$

Erika Bustos

Numerade Educator

00:49

Problem 50

Calculate the area of the shape formed by connecting the following set of vertices.
$$
\{(-2,0),(5,0),(3,-3)\}
$$

Erika Bustos

Numerade Educator

01:40

Problem 51

Calculate the distance between the given two points.
(-5,3) and (-1,6)

Brittany Stefanilo

Numerade Educator

01:29

Problem 52

Calculate the distance between the given two points.
(6,-2) and (-2,4)

Brittany Stefanilo

Numerade Educator

01:23

Problem 53

Calculate the distance between the given two points.
(0,0) and (5,12)

Brittany Stefanilo

Numerade Educator

01:34

Problem 54

Calculate the distance between the given two points.
(-6,-8) and (0,0)

Brittany Stefanilo

Numerade Educator

02:11

Problem 55

Calculate the distance between the given two points.
(-7,8) and (5,-1)

Brittany Stefanilo

Numerade Educator

01:47

Problem 56

Calculate the distance between the given two points.
(-1,-2) and (9,22)

Brittany Stefanilo

Numerade Educator

01:34

Problem 57

Calculate the distance between the given two points.
(-1,2) and $(-7 / 2,-4)$

Erika Bustos

Numerade Educator

02:27

Problem 58

Calculate the distance between the given two points.
(-12,13) and (52,-113)

Brittany Stefanilo

Numerade Educator

02:09

Problem 59

Calculate the distance between the given two points.
(-13,23) and (1,-13)

Brittany Stefanilo

Numerade Educator

01:41

Problem 60

Calculate the distance between the given two points.
(12,-34) and (32,14)

Brittany Stefanilo

Numerade Educator

01:23

Problem 61

Calculate the distance between the given two points.
(1,2) and (4,3)

Brittany Stefanilo

Numerade Educator

01:33

Problem 62

Calculate the distance between the given two points.
(2,-4) and (-3,-2)

Brittany Stefanilo

Numerade Educator

01:33

Problem 63

Calculate the distance between the given two points.
(-1,5) and (1,-3)

Brittany Stefanilo

Numerade Educator

01:35

Problem 64

Calculate the distance between the given two points.
(1,-7) and (5,-1)

Brittany Stefanilo

Numerade Educator

01:40

Problem 65

Calculate the distance between the given two points.
(-7,-3) and (-1,6)

Brittany Stefanilo

Numerade Educator

01:27

Problem 66

Calculate the distance between the given two points.
(0,1) and (1,0)

Brittany Stefanilo

Numerade Educator

01:46

Problem 67

Calculate the distance between the given two points.
(-0.2,-0.2) and (1.8,1.8)

Brittany Stefanilo

Numerade Educator

02:06

Problem 68

Calculate the distance between the given two points.
(1.2,-3.3) and (2.2,-1.7)

Brittany Stefanilo

Numerade Educator

02:50

Problem 69

For each problem, show that the three points form a right triangle.
$(-3,-2),(0,-2),$ and (0,4)

Erika Bustos

Numerade Educator

03:12

Problem 70

For each problem, show that the three points form a right triangle.
$(7,12),(7,-13),$ and (-5,-4)

Allison Knapp

Numerade Educator

02:29

Problem 71

For each problem, show that the three points form a right triangle.
$(-1.4,0.2),(1,2),$ and (1,-3)

Nicole Hoffman

Numerade Educator

03:10

Problem 72

For each problem, show that the three points form a right triangle.
$(2,-1),(-1,2),$ and (6,3)

Nicole Hoffman

Numerade Educator

04:06

Problem 73

For each problem, show that the three points form a right triangle.
$(-5,2),(-1,-2),$ and (-2,5)

Suzanne Harwood

Numerade Educator

02:06

Problem 74

For each problem, show that the three points form a right triangle.
$(1,-2),(2,3),$ and (-3,4)

Vysakh M

Numerade Educator

01:59

Problem 75

Isosceles triangles have two legs of equal length. For each problem, show that the following points form an isosceles triangle.
$(1,6),(-1,1),$ and (3,1)

Allison Knapp

Numerade Educator

02:02

Problem 76

Isosceles triangles have two legs of equal length. For each problem, show that the following points form an isosceles triangle.
$(-6,-2),(-3,-5),$ and (-9,-5)

Allison Knapp

Numerade Educator

01:38

Problem 77

Isosceles triangles have two legs of equal length. For each problem, show that the following points form an isosceles triangle.
$(-3,0),(0,3),$ and (3,0)

Allison Knapp

Numerade Educator

01:18

Problem 78

Isosceles triangles have two legs of equal length. For each problem, show that the following points form an isosceles triangle.
$(0,-1),(0,1),$ and (1,0)

Allison Knapp

Numerade Educator

02:03

Problem 79

Calculate the area and the perimeter of the triangles formed by the following set of vertices.
$$
\{(-4,-5),(-4,3),(2,3)\}
$$

Allison Knapp

Numerade Educator

01:27

Problem 80

Calculate the area and the perimeter of the triangles formed by the following set of vertices.
$$
\{(-1,1),(3,1),(3,-2)\}
$$

Allison Knapp

Numerade Educator

01:41

Problem 81

Calculate the area and the perimeter of the triangles formed by the following set of vertices.
$$
\{(-3,1),(-3,5),(1,5)\}
$$

Allison Knapp

Numerade Educator

01:38

Problem 82

Calculate the area and the perimeter of the triangles formed by the following set of vertices.
$$
\{(-3,-1),(-3,7),(1,-1)\}
$$

Allison Knapp

Numerade Educator

01:18

Problem 83

Find the midpoint between the given two points.
(-1,6) and (-7,-2)

Brittany Stefanilo

Numerade Educator

01:05

Problem 84

Find the midpoint between the given two points.
(8,0) and (4,-3)

Brittany Stefanilo

Numerade Educator

01:05

Problem 85

Find the midpoint between the given two points.
(-10,0) and (10,0)

Brittany Stefanilo

Numerade Educator

01:05

Problem 86

Find the midpoint between the given two points.
(-3,-6) and (-3,6)

Brittany Stefanilo

Numerade Educator

01:06

Problem 87

Find the midpoint between the given two points.
(-10,5) and (14,-5)

Brittany Stefanilo

Numerade Educator

00:55

Problem 88

Find the midpoint between the given two points.
(0,1) and (2,2)

Brittany Stefanilo

Numerade Educator

01:06

Problem 89

Find the midpoint between the given two points.
(5,-3) and (4,-5)

Brittany Stefanilo

Numerade Educator

01:06

Problem 90

Find the midpoint between the given two points.
(0,0) and (1,1)

Brittany Stefanilo

Numerade Educator

01:02

Problem 91

Find the midpoint between the given two points.
(-1,-1) and (4,4)

Brittany Stefanilo

Numerade Educator

01:00

Problem 92

Find the midpoint between the given two points.
(3,-5) and (3,5)

Brittany Stefanilo

Numerade Educator

01:27

Problem 93

Find the midpoint between the given two points.
(-12,-13) and (32,73)

Brittany Stefanilo

Numerade Educator

01:26

Problem 94

Find the midpoint between the given two points.
(34,-23) and (18,-12)

Brittany Stefanilo

Numerade Educator

01:32

Problem 95

Find the midpoint between the given two points.
(53,14) and (-16,-32)

Brittany Stefanilo

Numerade Educator

01:30

Problem 96

Find the midpoint between the given two points.
(-15,-52) and (710,-14)

Brittany Stefanilo

Numerade Educator

01:20

Problem 97

Given the right triangle formed by the vertices $(0,0),(6,0),$ and $(6,8),$ show that the midpoints of the sides form a right
triangle.

Nick Johnson

Numerade Educator

01:51

Problem 98

Given the isosceles triangle formed by the vertices $(-10,-12),(0,12),$ and $(10,-12),$ show that the midpoints of the sides also form an isosceles triangle.

Nick Johnson

Numerade Educator

01:44