Point-Slope Formula Worksheets With Answer Key - Section 3.5 - 3.6 Page 6
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Chapter 3 Graphing Linear Equations in Two Variables
4
y
y
y
6. y
x
5.
3
9
2
5
5
4
1
3
x
5
4
3
2
1
1 2 3
4 5
2
1
2
1
3
x
5
4
3
2
1
1 2 3
4 5
1
4
2
5
3
6
7
4
5
8
For Exercises 7–10, find the slope of the line that passes through the given points.
11,
32 and 12, 62
12,
42 and 1 2, 42
7.
8.
1 2, 52 and 15, 52
16.1, 2.52 and 16.1,
9.
10.
1.52
Concept 1: Writing an Equation of a Line Using the Point-Slope Formula
For Exercises 11–16, use the point-slope formula (if possible) to write an equation of the line given the following
information.
(See Example 1.)
11. The slope is 3, and the line passes through the
12. The slope is
2
, and the line passes through the
1 2, 12.
11,
point
point
52.
5,
13. The slope is
4
, and the line passes through the
14. The slope is
and the line passes through the
1 3,
1 1,
point
22.
point
32.
3
1
15. The slope is
and the line passes through
16. The slope is
,
and the line passes through
,
1 1, 02.
12, 02.
4
2
Concept 2: Writing an Equation of a Line Given Two Points
For Exercises 17–22, use the point-slope formula to write an equation of the line given the following information.
(See Example 2.)
1 2,
1 2, 52
17. The line passes through the points
62
18. The line passes through the points
and (1, 0).
and (0, 1).
10,
11,
19. The line passes through the points
42
20. The line passes through the points
32
1 1,
1 7, 22.
and
32.
and
1
2
14.7,
21. The line passes through the points 2.2, 3.3
22. The line passes through the points
2.22
and 112.2,
and 1 0.3, 6.82.
5.32.
For Exercises 23–28, find an equation of the line through the given points. Write the final answer in slope-
intercept form.
23.
24.
25.
y
y
y
5
5
5
( 2, 5)
( 1, 5)
(0, 4)
4
4
4
3
3
3
( 1, 3)
2
2
2
1
1
1
( 2, 0)
x
x
x
5
4
3
2
1
1 2 3
4 5
5
4
3
2
1
1 2 3
4 5
5
4
3
2
1
1 2 3
4 5
1
1
1
2
2
2
3
3
3
(3, 3)
4
4
4
5
5
5
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