C)
D)
Graph the line through the given point with the given slope.
144)
(0, 6), m = – 1
5
144)
A)
B)
81
C)
D)
Decide whether the slope is positive, negative, zero, or undefined.
145)
145)
A)
Zero
B)
Positive
C)
Negative
D)
Undefined
Answer the question.
146)
True or False? The x–coordinate is positive in quadrants I and IV.
146)
A)
False
B)
True
Find the intercepts for the graph of the equation.
147)
–4x + y =0
147)
A)
(–1, 0) (–4, 0)
B)
(0, –1) (0, –4)
C)
(0, 0) (0, 0)
D)
(0, –4) (–1, 0)
Answer the question.
148)
True or False: The graph of the equation x = – 23 is a vertical line.
148)
A)
False
B)
True
Solve the problem.
149)
Let x =28 and y =7. Find the pitch of the roof.
149)
A)
1
2
B)
1
4
C)
1
3
D)
1
6
Graph the line through the given point with the given slope.
83
150)
(8, 8), m =1
2
150)
A)
B)
C)
D)
84
Solve the problem.
151)
Suppose that sales of a particular brand of appliance satisfy the relationship y =80x + 300, where y
represents the number of sales in year x, with x = 0 corresponding to 1992. Find the number of sales
in 2005.
151)
A)
1260
B)
2600
C)
2680
D)
1340
Find an equation in slope–intercept form of the line satisfying the specified conditions.
152)
Through (7, 9), perpendicular to –7x + 8y = – 33
152)
A)
y = – 7
8x –119
8
B)
y =8
7x – 17
C)
y =8
7x +33
7
D)
y = – 8
7x + 17
Write an equation for the line. Give the final answer in slope–intercept form.
153)
Through (6, –3) and (–6, 8)
153)
A)
y =11
12 x +5
2
B)
y =9
14 x +29
7
C)
y = – 9
14 x +29
7
D)
y = – 11
12 x +5
2
Complete the ordered pairs. Then graph the equation by plotting the points and drawing a line through them.
85
154)
2x – y = – 4(0, ), ( , 0), (4, )
154)
A)
(0, 4), (–2, 0), (4, 12)
B)
(0, –4), (2, 0), (4, 4)
C)
(0, 4), (8, 0), (4, 6)
D)
(0, 4), (2, 0), (4, –4)
Answer the question.
155)
True or False: The graph of the equation 9x –15y =16 goes through (15, 7).
155)
A)
False
B)
True
Graph the linear equation.
86
156)
y + 5 = x
156)
A)
B)
C)
D)
87
Write an equation of the line through the given point with the given slope. Write the equation in slope–intercept form.
157)
(0, 5); m =5
8
157)
A)
y =5
8x +1
5
B)
y =5
8x – 5
C)
y =5
8x + 5
D)
y =8
5x + 5
Plot the ordered pairs on the rectangular coordinate system provided.
158)
A(4, 4), B(–6, –2)
158)
A)
B)
88
C)
D)
Write an equation for the line. Give the final answer in slope–intercept form.
159)
2x + 4y =16
159)
A)
y = – 1
2x +4
B)
y =1
2x +4
C)
y =2x +2
D)
y =1
2x +2
Find the intercepts for the graph of the equation.
160)
x + y = – 3
160)
A)
(–3, –1) (–2, –3)
B)
(0, –2) (0, –1)
C)
(–2, 0) (–1, 0)
D)
(–3, 0) (0, –3)
89
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.
161)
161)
A)
y = – x +6
B)
y = x –6
C)
y = x +6
D)
y = – x –6
Graph the line through the given point with the given slope.
162)
(–1, –3), undefined slope
162)
A)
B)
90
C)
D)
Determine whether the graphs of the equations are parallel lines, perpendicular lines, or neither.
163)
6x + 2y = 8
21x + 7y = 32
163)
A)
Perpendicular
B)
Parallel
C)
Neither
Give the ordered pairs for the points labeled on the graph.
164)
164)
A)
A(5, 6); B(4, 6)
B)
A(5, 4); B(–2, 6)
C)
A(4, 26); B(6, –2)
D)
A(5, 4); B(6, –2)
Identify the slope and y–intercept of the line with the given equation.
165)
y =6x +2
165)
A)
Slope 6, y–intercept (0, 2)
B)
Slope 2, y–intercept (0, –6)
C)
Slope –6, y–intercept (0, 2)
D)
Slope 2, y–intercept (0, 6)
Solve the problem.
166)
A cab company charges a base rate of $1.00 plus 10 cents per minute. Let y be the cost in dollars of
using the cab for x minutes. Find the slope–intercept form of the equation.
166)
A)
y = 0.10x – 1.00
B)
y = 0.10x + 1.00
C)
y =1.00x – 0.10
D)
y =1.00x + 0.10
Write the slope–intercept form of the equation for the line passing through the given pair of points.
167)
1
5, 4
5 and –1
10 , 1
10
167)
A)
y =7
3x +1
3
B)
y =7
3x
C)
y = – 7
3x
D)
y =7
3x –1
5
Complete the table of values for the given equation.
168)
y = – x + 8 x 0 3 8
y
168)
A)
8; 15; 0
B)
8; 5; –2
C)
8; 5; 0
D)
0; 3; 8
Find the slope of the line.
169)
x – 2 = 0
169)
A)
1
B)
Undefined
C)
0
D)
2
Find the intercepts for the graph of the equation.
170)
2x + y =6
170)
A)
(6, 2) (2, 6)
B)
(0, 2) (0, 2)
C)
(3, 0) (0, 6)
D)
(2, 0) (2, 0)
Write an equation for the line passing through the given pair of points. Give your final answer in standard form.
171)
(–9, –6) and (–18, 2)
171)
A)
8x +9y = – 126
B)
–8x +9y = – 78
C)
8x + y =126
D)
8x –9y = – 126
A
Solve the problem.
172)
A moving firm charges a flat fee of $45 plus $40 per hour. Let y be the cost in dollars of using the
moving firm for x hours. Find the slope–intercept form of the equation.
172)
A)
y =40x + 45
B)
y =45x + 40
C)
y =45x – 40
D)
y =40x – 45
A
Use the graph to answer the question.
173)
Which month in 2007 had the highest sales?
173)
A)
Month 5
B)
Month 12
C)
Month 3
D)
Month 6
B
C
Complete the ordered pair for the given equation.
174)
y = – 5x – 29 (–5, )
174)
A)
(–5, 7)
B)
(–5, –29)
C)
(–5, 145)
D)
(–5, –4)
Find the slope of the line going through the given pair of points.
175)
–5
8, 2
7 and –3
8, 3
7
175)
A)
8
7
B)
7
16
C)
7
8
D)
4
7
Give the ordered pairs for the points labeled on the graph.
176)
176)
A)
C(–4, 4); D(4, –3)
B)
C(–4, –3); D(4, –3)
C)
C(–4, 4); D(–3, 4)
D)
C(4, 8); D(–3, 4)
Answer the question.
177)
True or False? In quadrant II, the y–coordinate of a point is always negative.
177)
A)
True
B)
False
Graph the line through the given point with the given slope.
94
178)
(–1, –1), m = 0
178)
A)
B)
C)
D)
179)
(10, 0), m = – 1
5
179)
A)
B)
C)
D)
Answer the question.
180)
True or False: The graph of the equation x – 2y =11 goes through (10, 4).
180)
A)
True
B)
False
Use the graph to answer the question.
181)
What were the total sales for 2006?
181)
A)
$764,000
B)
$48,000
C)
$582,000
D)
$50,000
Find the slope of the line.
182)
y =3x +2
182)
A)
1
3
B)
2
C)
–1
3
D)
3
97
Solve by graphing. Label the axes and show where the solution is located on the graph.
183)
During the month of January 2006, the depth, d, of snow in inches at the base of one ski resort could
be approximated by d = – 2t +63, where t is the number of days since December 31st. Graph the
equation and use the graph to estimate the depth of snow on January 26th.
183)
A)
37 inches
B)
16 inches
C)
11 inches
D)
19 inches
Find the slope of the line going through the given pair of points.
184)
(9, 7) and (8, 3)
184)
A)
5
2
B)
2
5
C)
1
4
D)
4
D
Plot the ordered pairs on the rectangular coordinate system provided.
185)
A(0, 2), B (–1, 0)
185)
98
C
A)
B)
C)
D)
Find an equation in slope–intercept form of the line satisfying the specified conditions.
186)
Through (8, 0), parallel to –3x + 5y = – 19
186)
A)
y = – 3
5x +24
5
B)
y =5
3x + 0
C)
y =3
5x –24
5
D)
y = – 19
5x –19
5
99
Find the slope of the line.
187)
Through (9, 5) and (–3, –2)
187)
A)
–1
4
B)
12
7
C)
– 4
D)
7
12
Solve by graphing. Label the axes and show where the solution is located on the graph.
188)
The cost, T, in hundreds of dollars, of tuition at one community college is given by T =3+ 1.25c,
where c is the number of credits for which a student registers. Graph the equation and use the
graph to estimate the cost of tuition if a student registers for 12 credits.
188)
A)
About $700
B)
About $1500
C)
About $1900
D)
About $1800
D
Find the intercepts for the graph of the equation.
189)
–2x – 2y =8
189)
A)
(–4, –4) (–6, 8)
B)
(–6, 0) (–4, 0)
C)
(– 4, 0) (0, – 4)
D)
(0, –6) (0, –4)
C
Find the slope of the line going through the given pair of points.
190)
(5, 0) and (0, 1)
190)
A)
–1
5
B)
– 5
C)
1
5
D)
5
A
D