Lines Worksheet - Chapter 1 An Introduction To Graphs And Lines, Math 1310 College Algebra, University Of Houston Page 28
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28Exercise Set 1.2: Lines
47. Passes through (5, -7); parallel to the line
Write each of the following equations in slope-
=
−
5 +
3
intercept form, identify the slope and y-intercept, and
y
x
then draw its graph.
48. Passes through (5, -7); perpendicular to the line
23.
2
+ y
=
5
x
y
=
−
5 +
x
3
24.
3
x
− y
=
−
6
49. Passes through (2, 3); parallel to the line
5
2
6
x
− y
=
25.
4 =
0
x
+ y
26.
2
+ y
5
=
10
x
50. Passes through (-1, 5); parallel to the line
4
3
8
x
+ y
=
4
3
9
0
27.
x
− y
+
=
2
1
51. Passes through (2, 3); perpendicular to the line
28.
−
x
+
y
=
−
1
3
2
5
− y
2
=
6
x
Write an equation of the line that satisfies the given
52. Passes through (-1, 5); perpendicular to the line
conditions.
4
x
+ y
3
=
8
4
29. Slope
; y-intercept 3
-
53. Passes through (4, -6); parallel to the line
7
containing (3, -5) and (2, 1)
30. Slope
; y-intercept 5
−
4
54. Perpendicular to the line containing (4, -2) and
2
(10, 4); passes through the midpoint of the line
31. Slope
; passes through (-6 4)
3
segment connecting these points.
5
32. Slope
; passes through (8, -3)
Answer the following.
−
2
2
55. Sketch the line with slope
that passes through
2
33. Slope
; passes through (-3, 2)
3
−
9
the point (3, -4), and then find its equation.
1
34. Slope
; passes through (-4, -2)
56. Determine whether or not the following points
5
are collinear by using the slope formula:
35. Passes through (-5, 2) and (-4, -6)
(a) A(-3, 4), B(3, 8), C(6, 10)
(b) D(-2, -5), E(0, -3), F(3, 1)
36. Passes through (2, 11) and (-3, 1)
37. Passes through (-4, 5) and (1, -2)
57. Use slopes to show that the following vertices
38. Passes through (7, 0) and (3, -5)
represent the vertices of a parallelogram:
A(-3, 4), B(0, 8), C(5, 2), D(2, -2)
39. x-intercept 7; y-intercept -5
58. Use slopes to show that the following vertices
40. x-intercept -2; y-intercept 6
represent the vertices of a rectangle:
A(-2, -3), B(1, 4), C(-6, 7), D(-9, 0)
3
41. Slope
; x-intercept 4
−
2
Answer the following, assuming that each situation
1
can be modeled by a linear equation.
42. Slope
; x-intercept -6
5
59. If a company can make 21 computers for
43. Passes through (1, 4); parallel to the x-axis
$23,000, and can make 40 computers for
44. Passes through (1, 4); parallel to the y-axis
$38,200, write an equation that represents the
cost of x computers.
45. Passes through (2, -6); parallel to the line
4
x
=
60. A certain electrician charges a $40 traveling fee,
and then charges $55 per hour of labor. Write an
46. Passes through (2, -6); parallel to the line
equation that represents the cost of a job that
y
=
4
takes x hours.
54
University of Houston Department of Mathematics
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