Pre-Algebra 3.5
Name___________________________________ ID: 1
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Graphing using intercepts
Date________________ Period____
Sketch the graph of each line. Find the intercepts if they are not already defined.
1) x-intercept = 4, y-intercept = 3
2) x-intercept = -1, y-intercept = 5
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
3) x-intercept = -1, y-intercept = 2
3
4
5
6 x
4) x-intercept = 1, y-intercept = -1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
2
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Worksheet by Kuta Software LLC
-1-
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5) x-intercept = 2, y-intercept = 2
6) x-intercept = 2, y-intercept = 1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
7) x-intercept = -1, y-intercept = -1
y
4
5
6 x
y
6
5
5
4
4
3
3
2
2
1
1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
9) x-intercept = -2, y-intercept = 3
2
3
4
5
6 x
10) x-intercept = 4, y-intercept = -4
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
3
8) x-intercept = 3, y-intercept = -5
6
-6 -5 -4 -3 -2 -1
2
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Worksheet by Kuta Software LLC
-2-
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11) 3x - 4 y = 12
12) 2x + 3 y = 9
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
13) x - y = 0
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
14) 2x - 5 y = 5
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
15) 2x - y = 3
16) x - 2 y = 2
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-3-
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17) x + 4 y = -8
18) 5x + 2 y = 0
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
19) 7x + 2 y = 4
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
20) 5x + y = 1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
21) 3x + 2 y = -10
22) 2x + y = -4
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-4-
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23) x + y = 3
24) 8x + 3 y = 9
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
25) 4x - 5 y = 0
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
26) 4x + y = -1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
27) x - 2 y = -6
28) 7x + 2 y = 6
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-5-
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29) 5x - 2 y = -8
30) x + 2 y = -4
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
31) 4x + y = 2
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
32) x + 2 y = 6
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
33) 2x - 3 y = -12
34) x + y = 4
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-6-
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35) x - 2 y = -8
36) x - 2 y = 0
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
37) x + 3 y = 12
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
38) 7x - 5 y = -25
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
39) 2x + y = 5
40) 6x + y = -4
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-7-
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Pre-Algebra 3.5
Name___________________________________ ID: 1
©E `2_0Y1h6U jKfuPtMaS IStoLfct\wAajrNeL oLpLSCh.c c jA]lhls `rriMg^hzt[sL Pr\eqsbeTrIvVe`dH.
Graphing using intercepts
Date________________ Period____
Sketch the graph of each line. Find the intercepts if they are not already defined.
1) x-intercept = 4, y-intercept = 3
2) x-intercept = -1, y-intercept = 5
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
3) x-intercept = -1, y-intercept = 2
3
4
5
6 x
4) x-intercept = 1, y-intercept = -1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
2
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Worksheet by Kuta Software LLC
-1-
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5) x-intercept = 2, y-intercept = 2
6) x-intercept = 2, y-intercept = 1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
7) x-intercept = -1, y-intercept = -1
y
4
5
6 x
y
6
5
5
4
4
3
3
2
2
1
1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
9) x-intercept = -2, y-intercept = 3
2
3
4
5
6 x
10) x-intercept = 4, y-intercept = -4
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
3
8) x-intercept = 3, y-intercept = -5
6
-6 -5 -4 -3 -2 -1
2
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
2
3
4
5
6 x
Worksheet by Kuta Software LLC
-2-
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11) 3x - 4 y = 12
12) 2x + 3 y = 9
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
13) x - y = 0
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
14) 2x - 5 y = 5
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
15) 2x - y = 3
16) x - 2 y = 2
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-3-
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17) x + 4 y = -8
18) 5x + 2 y = 0
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
19) 7x + 2 y = 4
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
20) 5x + y = 1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
21) 3x + 2 y = -10
22) 2x + y = -4
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-4-
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23) x + y = 3
24) 8x + 3 y = 9
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
25) 4x - 5 y = 0
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
26) 4x + y = -1
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
27) x - 2 y = -6
28) 7x + 2 y = 6
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-5-
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29) 5x - 2 y = -8
30) x + 2 y = -4
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
31) 4x + y = 2
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
32) x + 2 y = 6
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
33) 2x - 3 y = -12
34) x + y = 4
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-6-
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35) x - 2 y = -8
36) x - 2 y = 0
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
37) x + 3 y = 12
1
2
3
4
5
6 x
1
2
3
4
5
6 x
1
2
3
4
5
6 x
38) 7x - 5 y = -25
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
39) 2x + y = 5
40) 6x + y = -4
y
y
6
6
5
5
4
4
3
3
2
2
1
1
-6 -5 -4 -3 -2 -1
1
2
3
4
5
6 x
-6 -5 -4 -3 -2 -1
-1
-1
-2
-2
-3
-3
-4
-4
-5
-5
-6
-6
Worksheet by Kuta Software LLC
-7-
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