C)
D)
Graph the linear equation using the slope and y–intercept.
77)
y = – 1
3x +2
77)
A)
B)
36
C)
D)
Solve.
78)
78)
The approach ramp used by a daredevil motorcyclist for flying over a collection of flaming
railroad ties has a rise of 28 feet for every 40 feet in horizontal distance. Find the grade of the
ramp. Round to the nearest whole percent.
A)
75%
B)
70%
C)
14%
D)
0.7%
Write an equation in slope–intercept form of the line satisfying the given conditions.
79)
79)
Perpendicular to the line y = – 2x – 3; containing the point (–1, –2).
A)
y =2x –3
2
B)
y = – 1
2x –3
2
C)
y =1
2x –3
2
D)
y = – 2x –3
2
Indicate in which quadrant the point lies.
80)
80)
(9, –15)
A)
III
B)
II
C)
IV
D)
I
Find a solution to the equation using the value given for x.
81)
81)
y = – 5x – 2; x =6
A)
(6, –7)
B)
(6, –28)
C)
(6, –42)
D)
(6, –32)
The graph shows the monthly revenue in millions of dollars of a growing company after the company doubled its
advertising. Use the graph to solve the problem.
82)
82)
Estimate the maximum revenue during the period of time plotted on the graph.
A)
$5 million
B)
$7 million
C)
$10 million
D)
$9 million
Indicate in which quadrant the point lies.
83)
83)
(–11, –10)
A)
IV
B)
I
C)
II
D)
III
Graph the linear equation in two variables.
84)
84)
y = x – 2
A)
B)
C)
D)
Find the point–slope form of the equation of the line satisfying the given conditions and use this to write the
slope–intercept form of the equation.
85)
85)
Slope = – 8, passing through (3, 2)
A)
y = – 8x + 26
B)
y = – 8x – 26
C)
y = – 1
8x –13
4
D)
y =8x – 26
86)
86)
Slope =3, passing through (–6, 8)
A)
y =3x – 26
B)
y =3x + 26
C)
y = – 3x – 26
D)
y =1
3x +26
3
Find a solution to the equation using the value given for x.
87)
87)
y =4x; x =3.
A)
(3, –1)
B)
(3, 15)
C)
(3, 12)
D)
(3, 7)
Indicate in which quadrant the point lies.
88)
88)
(–2, 17)
A)
III
B)
IV
C)
I
D)
II
Write an equation for the graph.
89)
89)
A)
x =6
B)
y =6
C)
x = – 6
D)
y = – 6
Find the slope of the line.
90)
90)
y =5
A)
–5
B)
0
C)
1
5
D)
5
Indicate in which quadrant the point lies.
91)
–3
8, –1
2
91)
A)
IV
B)
III
C)
II
D)
I
41
Determine whether the lines through each pair of points are parallel.
92)
92)
(10, 2) and (14, 18); (–7, 10) and (–5, 18)
A)
parallel
B)
not parallel
Interpret the linear equation.
93)
93)
The monthly cost of a certain long distance service is given by the linear function y =0.05x +8.95
where y is in dollars and x is the amount of time in minutes called in a month. Find and interpret
the slope and y–intercept of the linear equation.
A)
m =0.05; The number of minutes called in a month increases 0.05 for every dollar spent. b
=8.95; The number of minutes that can be called when x = 0 is 8.95.
B)
m =8.95; The cost of the long distance service increases $8.95 for every 1 minute called. b =
0.05; The cost of the long distance service is $0.05 if no calls are made for the month.
C)
m =8.95; The number of minutes called in a month increases 8.95 for every dollar spent. b
=0.05; The number of minutes that can be called when x = 0 is 0.05.
D)
m =0.05; The cost of the long distance service increases $0.05 for every 1 minute called. b =
8.95; The cost of the long distance service is $8.95 if no calls are made for the month.
Find the slope of the line.
94)
94)
3x – 7y = – 1
A)
–3
7
B)
3
7
C)
–7
3
D)
1
7
Graph the linear equation using the slope and y–intercept.
95)
95)
y =5x
42
A)
B)
C)
D)
Find the slope of the line, or state that the slope is undefined.
96)
96)
A)
–5
B)
1
C)
–1
D)
5
Solve.
97)
A tent has the dimensions shown in feet. Find d so that the pitch of the left side of the roof is 4
3.
4
d
97)
A)
3 feet
B)
4 feet
C)
11
3 feet
D)
1
3 feet
Use the graph to identify the x– and y– intercepts or state that there is no x– or y–intercept.
98)
98)
A)
x–intercept = – 5; y–intercept = 0
B)
no x–intercept; y–intercept = – 5
C)
x–intercept = – 5; y–intercept =5
D)
x–intercept = – 5; no y–intercept
Find the x–intercept and the y–intercept of the graph of the equation. Do not graph the equation.
99)
99)
–3x – 3y =3
A)
x–intercept = – 1; y–intercept =1
B)
x–intercept = – 1; y–intercept = – 1
C)
x–intercept = – 2; y–intercept = 0
D)
x–intercept = – 2; y–intercept = – 3
Find the point–slope form of the equation of the line satisfying the given conditions and use this to write the
slope–intercept form of the equation.
100)
100)
Passing through (–2, 15) and (–4, 23)
A)
y = – 4x – 7
B)
y = – 4x + 7
C)
y =4x + 7
D)
y =4x – 7
Determine whether the lines through each pair of points are perpendicular.
101)
101)
(–4, 0) and (–20, 12); (4, 4) and (–4, 10)
A)
perpendicular
B)
not perpendicular
Determine whether the lines through each pair of points are parallel.
102)
102)
(–4, –2) and (–8, 16); (–6, –5) and (–8, 4)
A)
parallel
B)
not parallel
Solve the problem.
103)
103)
The graph shows the total cost y (in dollars) of owning and operating a minivan where x is the
number of miles driven.
A: (6000, 4363.6)
B: (2000, 1454.5)
Find the slope of the line passing through the two points shown and use your answer to complete
this statement: For the range of miles shown, the cost of owning and operating a minivan
increases by approximately per driven.
A)
$19.00 per mile
B)
$0.25 per mile
C)
$0.73 per mile
D)
$1.38 per mile
Find the point–slope form of the equation of the line satisfying the given conditions and use this to write the
slope–intercept form of the equation.
104)
104)
Passing through (0, –2) and (–2, –3)
A)
y =1
2x – 2
B)
y = – 1
2x – 2
C)
y =1
2x + 2
D)
y = – 1
2x + 2
Write an equation in slope–intercept form of the line satisfying the given conditions.
105)
105)
Parallel to the line y =7; containing the point (9, 5)
A)
y = – 5
B)
y =9
C)
y =7
D)
y =5
Find the y–intercept.
106)
106)
–4x + 7y = – 5
A)
–5
B)
0
C)
4
7
D)
–5
7
47
Solve.
107)
107)
A section of roller coaster track has the dimensions shown in the diagram. Find the grade of the
track, which is the slope written as a percent.
8.14 meters
22 meters
A)
42%
B)
8.14%
C)
3%
D)
37%
Use the given conditions to write an equation for the line in slope–intercept form.
108)
108)
Passing through (2, 2) and perpendicular to the line whose equation is y =6x +3.
A)
y = – 6x – 14
B)
y = – 1
6x +7
3
C)
y = – 1
6x –7
3
D)
y =1
6x –7
3
Find the x–intercept and the y–intercept of the graph of the equation. Do not graph the equation.
109)
109)
x + y = – 5
A)
x–intercept = – 5; y–intercept = – 5
B)
x–intercept = 0; y–intercept = – 5
C)
x–intercept = – 5; no y–intercept
D)
x–intercept = – 2; y–intercept = – 3
Give the ordered pairs that correspond to the points labeled in the figure.
110)
110)
A)
C = (–4, –5), D = (5, –5)
B)
C = (5, 8), D = (–5, 5)
C)
C = (–4, 5), D = (–5, 5)
D)
C = (–4, 5), D = (5, –5)