Name _____________________________
Date ___________________
Linear Equations
Write an equation of the line that passes through the given two points.
1.
(
-3
,
4
), (
-1
,
0
)
2.
(
-3
,
5
), (
12
,
-10
)
3.
(
-5
,
-7
), (
3
,
33
)
4.
(
-7
,
4
), (
20
,
-5
)
5.
(
-44
,
-42
), (
56
,
-402
)
6.
(
2
,
2
), (
6
,
18
)
7.
(
-39
,
28
), (
3
,
133
)
8.
(
5
,
1
), (
44
,
-64
)
9.
(
6
,
0
), (
75
,
-345
)
10.
(
50
,
-25
), (
125
,
-340
)
11.
(
-20
,
-11
), (
20
,
-161
)
12.
(
-5
,
6
), (
45
,
31
)
13.
(
41
,
14
), (
161
,
-394
)
14.
(
43
,
13
), (
63
,
-22
)
15.
(
-48
,
29
), (
-24
,
161
)
16.
(
6
,
3
), (
60
,
-33
)
17.
(
5
,
-2
), (
39
,
83
)
18.
(
1
,
-3
), (
25
,
-99
)
Answer Key
1
x =
-1
-
1
2
y
2x + y = -2
y =
-2
x
-
2
2
x + y
2
=
1
x + y = 2
y =
-
x
+
2
3
x =
1
5
y
-
18
5
5x - y = -18
y =
5
x
+
18
4
3y = 5 - x
x + 3y = 5
y =
-1
3
x
+
5
3
5
-18x = 1002 + 5y
18x + 5y = -1002
y =
-18
5
x
-
1002
5
6
12
=
-2
y
+
8
x
4x - y = 6
y =
4
x
-
6
7
-6y = -753 - 15x
5x - 2y = -251
y =
5
2
x
+
251
2
8
x =
28
5
-
3
5
y
5x + 3y = 28
y =
-5
3
x
+
28
3
9
-10x = -60 + 2y
5x + y = 30
y =
-5
x
+
30
10
x =
-5
21
y
+
925
21
21x + 5y = 925
y =
-21
5
x
+
185
11
x =
-344
15
-
4
15
y
15x + 4y = -344
y =
-15
4
x
-
86
12
x - 2y
3
=
-17
3
x - 2y = -17
y =
1
2
x
+
17
2
13
15y = 2301 - 51x
17x + 5y = 767
y =
-17
5
x
+
767
5
14
x =
-4
7
y
+
353
7
7x + 4y = 353
y =
-7
4
x
+
353
4
15
-33x = 1758 - 6y
11x - 2y = -586
y =
11
2
x
+
293
16
-3y = -21 + 2x
2x + 3y = 21
y =
-2
3
x
+
7
17
x =
29
5
+
2
5
y
5x - 2y = 29
y =
5
2
x
-
29
2
18
1
=
1
y
+
4
x
4x + y = 1
y =
-4
x
+
1