Point-Slope Formula Worksheets With Answer Key - Section 3.5 - 3.6 Page 7
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Section 3.5 Point-Slope Formula
26.
27.
28.
y
y
y
5
5
5
4
4
4
3
3
3
2
2
2
(4, 1)
1
1
1
x
x
x
5 4
3
2
1
1 2
3
4
5
5 4
3
2 1
1
2
3
4
5
4 3
2
1
1
2
3
4
5
6
1
1
1
( 3, 1)
( 2, 2)
2
2
2
3
3
3
( 4, 3)
4
4
4
(6, 4)
( 3, 5)
5
5
5
Concept 3: Writing an Equation of a Line Parallel or Perpendicular to Another Line
For Exercises 29–36, use the point-slope formula to write an equation of the line given the following
information.
(See Examples 3–4.)
1 3, 12
14,
29. The line passes through the point
and is
30. The line passes through the point
12
and is
parallel to the line y
4 x
3.
parallel to the line y
3 x
1.
14, 02
12, 02
32. The line passes through the point
and is
31. The line passes through the point
and is
parallel to the line
3x
2y
8
.
parallel to the line
5x
3y
6
.
1 5, 22
1 2,
33. The line passes through the point
and is
34. The line passes through the point
22
and
1
1
perpendicular to the line y
x
3.
is perpendicular to the line y
x
5.
2
3
10,
10,
35. The line passes through the point
62
and is
36. The line passes through the point
82
and is
perpendicular to the line
5x
y
4.
perpendicular to the line 2x
y
5.
Concept 4: Different Forms of Linear Equations: A Summary
For Exercises 37–42, match the form or formula on the left with its name on the right.
x
k
37.
i.
Standard form
38.
y
mx
b
ii. Point-slope formula
y
y
2
1
39.
m
iii. Horizontal line
x
x
2
1
2
y
y
m1x
x
40.
iv. Vertical line
1
1
41.
y
k
v. Slope-intercept form
42.
Ax
By
C
vi. Slope formula
For Exercises 43–48, find an equation for the line given the following information.
(See Example 5.)
1 1, 12
43. The line passes through the point (3, 1)
44. The line passes through the point
and is parallel to the line
y
4.
and is parallel to the line
y
2.
See the figure.
See the figure.
y
y
5
5
4
4
3
3
2
2
2
y
(3, 1)
( 1, 1)
1
1
x
x
5
4
3
2
1
1 2 3
4 5
1 2 3
4 5
5
4
3
2
1
1
1
2
2
3
3
4
y
4
4
5
5
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