Point-Slope Form And Writing Linear Equations Worksheet
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1
2
3EXERCISES
For more practice, see Extra Practice.
Practice and Problem Solving
Practice and Problem Solving
A
A
Practice by Example
Graph each equation.
3
1. y - 2 = (x - 3)
2. y - 2 = 2(x - 3)
3. y - 2 =
Example 1
2
(x 2 3)
2
(page 305)
2
4. y + 5 = -(x - 2)
5. y + 1 =
6. y - 1 = -3(x + 2)
(x 1 4)
3
7. y + 3 = -2(x - 1)
8. y - 4 = (x - 5)
9. y - 2 = 3(x + 2)
Example 2
Write an equation in point-slope form for the line through the given point with the
given slope.
(page 305)
5
4
10. (3, -4); m = 6
11. (4, 2); m =
12. (0, 2); m =
2
3
5
3
13. (-2, -7); m =
14. (4, 0); m = 1
15. (5, -8); m = -3
2
2
1
2
16. (-5, 2); m = 0
17. (1, -8); m =
18. (-6, 1); m =
2
5
3
A line passes through the given points. Write an equation for the line in point-
Example 3
slope form. Then rewrite the equation in slope-intercept form.
(page 305)
21. (4, -2), (9, -8)
19. (-1, 0), (1, 2)
20. (3, 5), (0, 0)
22. (6, -4), (-3, 5)
23. (-1, -5), (-7, -6)
24. (-3, -4), (3, -2)
25. (2, 7), (1, -4)
27. (3, -8), (-2, 5)
26. (-2, 6), (5, 1)
Q
2 R
Q 1 2
R
Q
R
1
3
28.
(3, 2)
29.
30. (0.2, 1.1), (7, 3)
1,
,
, 2
,
2
, 4
2
Example 4
Is the relationship shown by the data linear? If so, model the data with an equation.
(page 306)
31.
32.
33.
x
y
x
y
x
y
3
1
4
9
10
5
2
3
2
19
6
4
5
9
5
40
9
13
15
49
9
17
11
58
Example 5
34.
35.
Volume
Weight
Speed Over Posted
Fine
(page 306)
Speed (mi/h)
($)
(gal)
(lb)
10
75
0
0
2
16
12
95
4
33
15
125
6
50
19
165
B
B
Apply Your Skills
Write an equation of each line in point-slope form.
36.
37.
38.
y
y
y
4
5
x
4
2
O
2
2
2
x
O
2
x
5
2
O
2
4
307-309
Lesson 6-4
Point-Slope Form and Writing Linear Equations
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