The Point-Slope Form Worksheet With Answer Key Page 6
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2
3
4
5
6
7(4–39)
195
4.4 The Point-Slope Form
33.
47. Automated tellers. ATM volume reached 10.6 billion
y
transactions in 1996 (Electronic Commerce Data Base).
The accompanying graph shows the steady growth of
( – 5, 5)
automatic tellers.
(3, 4)
a) Write the equation of the line through (92, 7.0) and
(96, 10.6).
b) Use the equation to predict the number of transac-
(0, 2)
tions at automated teller machines in the year 2005?
x
y
12
10
34.
y
8
6
( – 4, 0)
(3, 0)
4
x
2
0
x
92
93
94
95
96
Year
F I G U R E F O R E X E R C I S E 4 7
(4, – 6)
48. Direct deposit. In 1994, one-third of all workers partici-
pated in direct deposit of their paychecks and this number
is expected to reach three-fourths by the year 2000. (New
York Automated Clearing House, ).
Find the equation of each line. Write each answer in slope-
a) Write the equation of the line through (1993, 1 3)
intercept form. See Examples 3 and 4.
and (2000, 3 4).
35. The line contains the point (3, 4) and is perpendicular to
b) Use the accompanying graph to predict the year in
y
3x
1.
which 100% of all workers will participate in direct
deposit of their paychecks.
36. The line contains the point ( 2, 3) and is perpendicular
c) Use the equation from part (a) to predict the year in
to y
2x
7.
which 100% of all workers will participate in direct
37. The line is parallel to y
x
9 and goes through the
deposit of their paychecks.
point (7, 10).
38. The line is parallel to y
x
5 and goes through the
point ( 3, 6).
100
39. The line is perpendicular to 3x
2y
10 and passes
through the point (1, 1).
40. The line is perpendicular to x
5y
4 and passes
50
through the point ( 1, 1).
41. The line is parallel to 2x
y
8 and contains the point
( 1,
3).
0
1993
2000
2005
42. The line is parallel to
3x
2y
9 and contains the
Year
point ( 2, 1).
F I G U R E F O R E X E R C I S E 4 8
43. The line goes through ( 1, 2) and is perpendicular to
49. Gross domestic product. The U.S. per capita gross do-
3x
y
5.
mestic product went from $14,000 in 1970 to $18,000
44. The line goes through (1, 2) and is perpendicular to
in 1992 (World Resources, 1997).
1
y
x
3.
a) Write the equation of the line through the points
2
(1970, 14,000) and (1992, 18,000).
45. The line goes through (2, 3) and is parallel to
2x
y
6.
b) What do x and y represent in your equation?
46. The line goes through (1, 4) and is parallel to x
2y
6.
Solve each problem.
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