78)
2x – 3y =6
78)
A)
B)
C)
D)
For the given equation, complete the table of values and plot the resulting ordered pairs.
41
79)
x + 5 = 0
x y
0
2
–2
4
79)
A)
x y
–5 0
–3 2
–7–2
–1 4
B)
x y
5 0
7 2
3–2
9 4
C)
x y
5 0
5 2
5–2
5 4
42
D)
x y
–5 0
–5 2
–5–2
–5 4
Answer the question.
80)
True or False: The point at which a line crosses the x–axis, where y is zero, is called the y–intercept.
80)
A)
False
B)
True
The table of values gives two points that lie on a line. Use the points to find the slope and y–intercept of the line. Then
use these values to write an equation of the line in slope–intercept form.
81)
x y
6 0
–3 8
81)
A)
y =8
9x +16
3
B)
y = – 6
11 x +70
11
C)
y =6
11 x +70
11
D)
y = – 8
9x +16
3
Write the slope–intercept form of the equation for the line passing through the given pair of points.
82)
–1
4, 3
4 and 1
4, 7
4
82)
A)
y =2x –1
2
B)
y =4x +10
C)
y =2x
D)
y =2x +5
4
Solve.
83)
Complete these ordered pairs for the equation 2x –4y = – 8; (0, ), ( , 0), (4, )
83)
A)
(0, 2), (4, 0), (–4, 4)
B)
(0, 2), (–4, 0), (4, 4)
C)
(0, 8), (–4, 0), (4, 4)
D)
(8, 2), (4, 0), (–4, 4)
Graph the linear equation.
84)
y =2x
84)
A)
B)
C)
D)
C
B
Find the slope of the line.
85)
y =4
85)
A)
–4
B)
4
C)
0
D)
Undefined
Give the ordered pairs for the points labeled on the graph.
86)
86)
A)
A(6, 3); B(0, 3)
B)
A(6, 3); B(0, –3)
C)
A(6, –3); B(1, –3)
D)
A(–6, 3); B(0, 3)
B
Write the slope–intercept form of the equation for the line passing through the given pair of points.
87)
(–4, –2) and (0, –5)
87)
A)
y =3
4x – 5
B)
y = – 3
4x – 5
C)
y =2
5x – 5
D)
y = – 2
5x – 5
B
C
Decide whether the slope is positive, negative, zero, or undefined.
88)
88)
A)
Zero
B)
Undefined
C)
Positive
D)
Negative
Graph the linear equation.
89)
x + y =3
89)
A)
B)
46
C)
D)
Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.
90)
y + 6 = x (0, ), ( , 0), (2, )
90)
A)
(0, 6), (6, 0), (2, 4)
B)
(0, 6), (–6, 0), (2, 8)
47
C)
(0, –6), (–6, 0), (2, –8)
D)
(0, –6), (6, 0), (2, –4)
Answer the question.
91)
True or False? The ordered pair (–4, –5) determines a point in quadrant III with x–coordinate –5
and y–coordinate –4.
91)
A)
True
B)
False
Solve the problem.
92)
Data regarding the amount spent by a government department is represented in the following
graph. Find the slope of the line by using any two of the points shown on the line. Is the slope equal
to the yearly change in amount spent?
Year
92)
A)
Slope: $0.35 billion; yes
B)
Slope: $0.15 billion; no
C)
Slope: $0.6 billion; yes
D)
Slope: $0.25 billion; no
Complete the ordered pair for the given equation.
93)
6x + y = – 29 ( , –29)
93)
A)
(–174, –29)
B)
(6, –29)
C)
(0, –29)
D)
(–6, –29)
Graph the linear equation. Give the x– and y–intercepts.
94)
2x + y =4
94)
49
A)
x–intercept: (– 2, 0); y–intercept: (0, –4)
B)
x–intercept: (2, 0); y–intercept: (0, 4)
C)
x–intercept: (– 2, 0); y–intercept: (0, 4)
D)
x–intercept: (4, 0); y–intercept: (0, 2)
50
Use the coordinates of the indicated points to find the slope of the line.
95)
0, – 2 , (6, 0)
95)
A)
1
3
B)
–1
3
C)
–3
D)
3
Write an equation for the line passing through the given pair of points. Give your final answer in standard form.
96)
(6, 0) and (0, 7)
96)
A)
7x – 6y =42
B)
6x –7y =42
C)
7x + 6y =7
D)
7x + 6y =42
D
Plot the ordered pairs on the rectangular coordinate system provided.
97)
A(5, –2), B(–6, 2)
97)
51
A
A)
B)
C)
D)
Solve the problem.
98)
The table lists the average annual cost (in dollars) of tuition and fees at a certain 2–year college for
selected years, where year 1 represents 1992, year 3 represents 1994, and so on. Use the ordered
pairs (3, 1149) and (9, 1302) to find the equation of a line that approximates the data. (If necessary,
round the slope to the nearest hundredth and the y–intercept to the nearest whole number.)
Year Cost (in dollars)
11058
31149
51227
71289
91302
98)
A)
y =25.5x –1226
B)
y =25.5x +1073
C)
y =25.5x +996
D)
y =51x +996
99)
An electrician charges a fee of $60 plus $45 per hour. Let y be the cost in dollars of using the
electrician for x hours. Find the slope–intercept form of the equation.
99)
A)
y =45x + 60
B)
y =60x – 45
C)
y =60x + 45
D)
y =45x – 60
Use the graph to answer the question.
100)
What were the total sales for the first 6 months of 2006?
100)
A)
$290,000
B)
$366,000
C)
$46,000
D)
$240,000
Use the geometric interpretation of slope (rise divided by run) to find the slope of the line. Then, by identifying the
y–intercept from the graph, write the slope–intercept form of the equation of the line.
101)
101)
A)
y =3x + 7
B)
y = – 7
3x + 7
C)
y = – 3x + 7
D)
y = – 3
7x + 3
102)
102)
A)
y = – 7
2x + 7
B)
y = – 2x + 7
C)
y = – 2
7x + 2
D)
y =2x + 7
Decide whether or not the ordered pair is a solution to the equation.
103)
8x + 15y = – 9; (–3, 1)
103)
A)
Yes
B)
No
Plot the ordered pairs on the rectangular coordinate system provided.
104)
A(6, 6), B(2, –3)
104)
55
A)
B)
C)
D)
Graph the linear equation.
105)
x = – 6
105)
56
A)
B)
C)
D)
Write the slope–intercept form of the equation for the line passing through the given pair of points.
106)
(5, –9) and (5, –8)
106)
A)
x =5
B)
–9x – 8y = 0
C)
y = – 9
D)
–8x – 9y = 0
A
Graph the equation by using the slope and y–intercept.
57
C
107)
y =1
2x –1
107)
A)
B)
C)
D)
Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.
58
108)
x =4y – 5 ( , 0), (0, ), , 1
4
108)
A)
(–5, 0), 0, –5
4, –6, 1
4
B)
(0, 0), (0, 0), 1, 1
4
C)
5
4, 0 , (0, –5), 21
16 , 1
4
D)
(–5, 0), 0, 5
4 , –4, 1
4
Identify the slope and y–intercept of the line with the given equation.
109)
f(x) = – 5x + 2
109)
A)
Slope –5, y–intercept (0, 2)
B)
Slope 5, y–intercept (0, 2)
C)
Slope 2, y–intercept (0, 5)
D)
Slope 2, y–intercept (0, –5)
Decide whether the slope is positive, negative, zero, or undefined.
110)
110)
A)
Negative
B)
Undefined
C)
Zero
D)
Positive
Decide whether or not the ordered pair is a solution to the equation.
111)
x + y =6; (3, 8)
111)
A)
No
B)
Yes
60