Intermediate Algebra (11th edition)

39.Through ; slope 40.Through ; slope

41.x-intercept ; slope 4 42.x-intercept ; slope

43.Through slope 1.4 44.Through slope 0.8

Find an equation of the line that satisfies the given conditions. See Example 4.

45.Through ; slope 0 46.Through ; slope 0

47.Through ; undefined slope 48.Through ; undefined slope

49.Through ; slope 0 50.Through ; slope 0

51.Through ; horizontal 52.Through ; horizontal

53.Through ; vertical 54.Through ; vertical

Find an equation of the line passing through the given points. (a)Write the equation in stan-
dard form. (b)Write the equation in slope-intercept form if possible. See Example 5.

55. and 56. and 57. and


56. and 59. and 60. and


57. and 62. and


58. and 64. and


59. and 66. and

Find an equation of the line that satisfies the given conditions. (a)Write the equation in slope-
intercept form. (b)Write the equation in standard form. See Example 6.

67.Through ; parallel to

68.Through ; parallel to

69.Through ; parallel to

70.Through ; parallel to

71.Through ; perpendicular to

72.Through ; perpendicular to

73.Through ; perpendicular to

74.Through ; perpendicular to

Write an equation in the form for each situation. Then give the three ordered pairs
associated with the equation for x-values 0, 5,and 10.See Example 7(a).

75.xrepresents the number of hours traveling at 45 mph, and yrepresents the distance trav-
eled (in miles).

76.xrepresents the number of t-shirts sold at $26 each, and yrepresents the total cost of the
t-shirts (in dollars).

77.xrepresents the number of gallons of gas sold at $3.10 per gal, and yrepresents the total
cost of the gasoline (in dollars).

78.xrepresents the number of days a DVD movie is rented at $4.50 per day, and yrepresents
the total charge for the rental (in dollars).

79.xrepresents the number of credit hours taken at Kirkwood Community College at $111
per credit hour, and yrepresents the total tuition paid for the credit hours (in dollars).
(Source:www.kirkwood.edu)

80.xrepresents the number of tickets to a performance of Jersey Boysat the Des Moines
Civic Center purchased at $125 per ticket, and yrepresents the total paid for the tickets
(in dollars). (Source:Ticketmaster.)

y=mx

1 8, 4 2 x=- 3

1 - 2, 7 2 x= 9

1 2, - 72 5 x+ 2 y= 18

1 8, 5 2 2 x-y= 7

1 - 1, 3 2 - x+ 3 y= 12

1 - 2, - 22 - x+ 2 y= 10

1 4, 1 2 2 x+ 5 y= 10

1 7, 2 2 3 x-y= 8

a

2

5

,

2

3

a b

3

4

,

8

3

a b

4

3

,

2

3

a- b

2

5

,

2

5

b

a

12

7

a- , - 6 b

4

9

a- , - 6 b

2

3

a , - 3 b

1

2

, - 3 b

1 7, 6 2 1 7, - 82 1 13, 5 2 1 13, - 12

1 - 2, 5 2 1 - 8, 1 2 1 2, 5 2 1 1, 5 2 1 - 2, 2 2 1 4, 2 2

1 3, 4 2 1 5, 8 2 1 5, - 22 1 - 3, 14 2 1 6, 1 2 1 - 2, 5 2

1 0.5, 0.2 2 1 0.1, 0.4 2

1 - 7, 8 2 1 2, - 72

A-

5

8 , -

9

A-^2 B

3

4 , -^

3

2 B

1 9, 10 2 1 - 2, 8 2

1 9, 5 2 1 - 4, - 22

1 2, 6.8 2 ; 1 6, -1.2 2 ;

1 3, 0 2 1 - 2, 0 2 - 5

1

1 7, - (^224)
1
1 - 5, 4 (^22)

SECTION 3.3 Linear Equations in Two Variables 171