Algebra Ii Worksheet With Answers Page 7
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10Algebra II
Name:
Worksheet #4 (§3 – 4)
Equations of Lines
Find an equation, in slope-intercept form, of the line having slope m and y -
intercept b .
4
1.
m = 4 , b = 8
2.
m =
, b = 0
3.
m = −6 , b = 1
3
1
4.
m = −
, b = 3
5.
m = −8 , b = 11
6.
m = −11 , b = 13
5
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Find an equation, in slope-intercept form, of the line having slope m and y -
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intercept b . Then rewrite each equation in standard form.
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3
m = −
, b = −7
m =
, b = −1
7.
m = −2 , b = −6
8.
9.
5
7
2
7
m =
, b = 0
m = −
, b = −6
10.
m = 9 , b = 4
11.
12.
9
2
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Write an equation in standard form of the line containing the given point and
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having slope m . (Hint: Use the point-slope formula first and then rewrite the equation
in standard form.)
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(
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(
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13.
−2 , 3
, m = −1
14.
4 , 7
, m =
15.
−2 , 3
, m = 4
2
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16.
0 , −7
, m = −4
17.
7 , 5
, m = 0
18.
−6 , 7
, m = −
2
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3
(
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, m undefined
(
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, m =
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, m = −2
19.
1 , 2
20.
6 , 2
21.
5 , −3
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Answers:
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1.#y = 4x + 8##3.#y = −6x + 1##5.#y = −8x + 11##7.#2x + y = −6##9.#3x − 7y = 7
11.#2x − 9y = 0##13.#x + y = 1##15.#4x − y = −11##17.#y = 5##19.#x = 1##21.#2x + y = 7
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