Name———————————————————————— Date —————————————
Practice C
Lesson
3.5
For use with the lesson “Write and Graph Equations of Lines”
Write an equation of the line with the given slope m and y-intercept b.
3
5
2. m 5 2​ } ​; b 5 }
​ 7 ​
2
3
1. m 5 ​ }4 ​; b 5 24
2
10
3. m 5 ​ }  ​; b 5 2​ } ​
5
3
Write an equation of the line shown.
4.
y
5.
y
(0, 3)
6.
y
(1, 5)
(2, 3)
1
1
x
(5, 0)
1
1
x
1
(4, 1)
(21, 23)
1
y
8.
x
2
y
y
(8, 12)
(2, 6)
(3, 21)
4
(24, 24)
2
22
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
9.
Lesson 3.5
7.
x
1
x
2
(6, 21)
(6, 24)
x
Write an equation of the line that passes through the given point P and
has the given slope m.
10. P(3, 4); m 5 4
11. P(5, 22); m 5 23
1
12. P(23, 2); m 5 ​ } ​
3
13. P​1 3, }
​ 2 ​ 2​; m 5 24
5
14. P(5, 3); m 5 2​ } ​
3
1 1
1
15. P​ }
​ 2 ​, }
​ 4 ​  ​; m 5 }
​ 2 ​
1
1  2
Write an equation of the line that passes through point P and is parallel to
the line with the given equation.
16. P(3, 23); y 5 4x 2 6
3
17. P(6, 21); y 5 3x 1 ​ } ​
4
19. P​1 }
​ 2 ​, 4 2​; y 5 4x 1 1
2
1
20. P​ 1, 2​ } ​  ​; y 5 }
​ 3 ​ x 2 7
3
5
1 
2
18. P(24, 6); y 5 22x 2 3
1 
6
5 11
21. P​ }
​ 3 ​, }
​ 4  ​  ​; y 5 2​ }5 ​ x 1 4
2
Write an equation of the line that passes through point P and is perpendicular
to the line with the given equation.
22. P(24, 24); y 5 22x 1 1
1
25. P(1, 27); y 5 ​ }2 ​ x 2 5
23. P(2, 23); y 5 24x 2 5
1 
1
7
26. P​ 22, }
​ 2 ​  ​; y 5 2​ }4 ​ x 1 7
2
24. P(5, 4); x 5 25
1 
2
3 16
9
27. P​ 2}
​ 4 ​, }
​ 3  ​  ​; y 5 }
​ 2 ​ x 1 1
Geometry
Chapter Resource Book
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3-67
4/27/11 2:35:22 AM
Name———————————————————————— Lesson
3.5
Date —————————————
Practice C continued
For use with the lesson “Write and Graph Equations of Lines”
Graph the equation.
28. 2x 1 4y 5 3
y
29. x 1 3y 5 4x 2 2
1
Lesson 3.5
1
y
x
1
32. 3( y 2 4) 5 7x 2 15
1
y
x
x
33. 2( y 1 1) 5 3x 1 5( y 1 2)
1
1
y
1
x
31. 4(x 2 2) 1 2 5 2y 2 4
y
1
1
30. x 2 2y 5 y 1 5
y
1
1
x
1
x
34. x 1 3y 5 2
35. 3x 2 2y 5 3
36. 4x 1 7y 5 4
7
3x 2 y 5 5 6x 2 4y 5 6 2x 1 ​ }2 ​ y 5 14
y
y
y
2
1
2
x
2
1
x
2
In Exercises 37–39, use the following information.
Amusement Park
37. Write an equation to model each situation.
38. Graph each equation.
39. What is the break-even point?
Cost (dollars)
Amusement Park The cost of admission to an amusement
park is $175 for a season pass or $35 per visit.
y
200
175
150
125
100
75
50
25
0
3-68
x
Copyright © Houghton Mifflin Harcourt Publishing Company. All rights reserved.
Graph the linear equations. Then use the graph to estimate how many
solutions the equations share.
0 1 2 3 4 5 6 7 x
Visits
Geometry
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