Name _____________________________
Date ___________________
Linear Equations
Write an equation of the line that passes through the given two points.
1.
(
7
,
-2
), (
27
,
-22
)
2.
(
-3
,
-8
), (
1
,
12
)
3.
(
-8
,
-3
), (
-6
,
-11
)
4.
(
-4
,
0
), (
32
,
-96
)
5.
(
-1
,
4
), (
37
,
23
)
6.
(
22
,
4
), (
72
,
-171
)
7.
(
45
,
-41
), (
165
,
-17
)
8.
(
18
,
-42
), (
60
,
-266
)
9.
(
-8
,
-1
), (
28
,
89
)
10.
(
-4
,
-32
), (
30
,
-185
)
11.
(
-5
,
-3
), (
60
,
-198
)
12.
(
6
,
-7
), (
75
,
62
)
13.
(
34
,
-22
), (
40
,
-43
)
14.
(
4
,
-2
), (
29
,
-67
)
15.
(
-8
,
-3
), (
76
,
-444
)
16.
(
18
,
34
), (
84
,
320
)
17.
(
-10
,
-20
), (
20
,
25
)
18.
(
26
,
32
), (
61
,
46
)
Answer Key
1
y = 5 - x
x + y = 5
y =
-
x
+
5
2
5x - y
4
=
-7
4
5x - y = -7
y =
5
x
+
7
3
x =
-1
4
y
-
35
4
4x + y = -35
y =
-4
x
-
35
4
-16x = 64 + 6y
8x + 3y = -32
y =
-8
3
x
-
32
3
5
x =
-9
+
2
y
x - 2y = -9
y =
1
2
x
+
9
2
6
21x = 486 - 6y
7x + 2y = 162
y =
-7
2
x
+
81
7
5
y
+
250
= x
x - 5y = 250
y =
1
5
x
-
50
8
81
8
-
3
16
y
= x
16x + 3y = 162
y =
-16
3
x
+
54
9
18
=
18
19
y
+
-45
19
x
5x - 2y = -38
y =
5
2
x
+
19
10
-2y = 100 + 9x
9x + 2y = -100
y =
-9
2
x
-
50
11
-3y = 54 + 9x
3x + y = -18
y =
-3
x
-
18
12
x - y
2
=
13
2
x - y = 13
y =
x
-
13
13
194
7
-
2
7
y
= x
7x + 2y = 194
y =
-7
2
x
+
97
14
42
13
-
5
13
y
= x
13x + 5y = 42
y =
-13
5
x
+
42
5
15
-63x = 540 + 12y
21x + 4y = -180
y =
-21
4
x
-
45
16
3y = -132 + 13x
13x - 3y = 132
y =
13
3
x
-
44
17
-20
=
4
y
+
-6
x
3x - 2y = 10
y =
3
2
x
-
5
18
5
2
y
-
54
= x
2x - 5y = -108
y =
2
5
x
+
108
5