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ID: 1
Algebra 1B
Name___________________________________
Unit 4 Worksheet 4 - Graphing Lines Part 3: Standard Form
Date________________
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Solve for y and state the slope and y-intercept. Then sketch the graph of each line.
1) x − y = 4
2) 5 x + 4 y = 8
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
3) 3 x − y = −3
1
2
3
4
5
6
1
2
3
4
5
6
4) 2 x − 3 y = 15
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
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-1-
Worksheet by Kuta Software LLC
5) 2 x − y = −4
6) 6 x − y = −3
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
7) x + 3 y = −6
1
2
3
4
5
6
1
2
3
4
5
6
8) x + y = 2
6
6
5
5
4
4
3
3
2
2
1
1
−6 −5 −4 −3 −2 −1 0
1
2
3
4
5
6
−6 −5 −4 −3 −2 −1 0
−2
−2
−3
−3
−4
−4
−5
−5
−6
−6
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-2-
Worksheet by Kuta Software LLC
Find the slope of the line through each pair of points.
9) (−10, 7), (−20, −14)
10) (−7, 5), (18, −6)
11) (−3, −10), (8, 5)
12) (−17, 7), (−3, −19)
Find the value of x or y so that the line through the points has the given slope.
13) (1, y) and (0, −5); slope: 4
15) (−7, 7) and (−2, y); slope: −
14) (−4, y) and (−9, 4); slope: −
12
5
16) ( x, 8) and (6, 5); slope: −
9
5
1
5
Solve each proportion.
17)
10 7k + 10
=
9
k−5
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18)
-3-
3p + 7 9
=
5p − 3 4
Worksheet by Kuta Software LLC
19)
8 7p − 6
=
3
p+8
20)
5b − 9 b + 7
=
2
9
Solve each equation.
21) −1 =
−7 + n
21
22) −97 = −9 − 8 p
23) 2(8m + 6) − 7m = 40 + 5m
24) −7(4 − 3a) = 20 − 3a
25) 5 p + 8(1 + p) = 36 + 6 p
26) 4(5b − 2) = −32 + 8b
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-4-
Worksheet by Kuta Software LLC