Name _____________________________
Date ___________________
Linear Equations
Write an equation of the line that passes through the given two points.
1.
(
2
,
-6
), (
6
,
10
)
2.
(
7
,
8
), (
12
,
-17
)
3.
(
6
,
8
), (
22
,
-40
)
4.
(
19
,
5
), (
34
,
30
)
5.
(
-7
,
7
), (
41
,
39
)
6.
(
-7
,
-5
), (
21
,
-61
)
7.
(
10
,
16
), (
45
,
-180
)
8.
(
8
,
-1
), (
40
,
-121
)
9.
(
-11
,
28
), (
69
,
-352
)
10.
(
0
,
7
), (
38
,
26
)
11.
(
1
,
8
), (
52
,
-94
)
12.
(
0
,
-7
), (
90
,
137
)
13.
(
-14
,
-41
), (
30
,
-151
)
14.
(
3
,
-4
), (
15
,
-10
)
15.
(
2
,
5
), (
11
,
-4
)
16.
(
-6
,
-13
), (
99
,
554
)
17.
(
40
,
35
), (
64
,
-49
)
18.
(
-5
,
3
), (
50
,
-261
)
Answer Key
1
-4x = -14 - y
4x - y = 14
y =
4
x
-
14
2
-1
5
y
+
43
5
= x
5x + y = 43
y =
-5
x
+
43
3
3x + y
3
=
26
3
3x + y = 26
y =
-3
x
+
26
4
16
+
3
5
y
= x
5x - 3y = 80
y =
5
3
x
-
80
3
5
x =
3
2
y
-
35
2
2x - 3y = -35
y =
2
3
x
+
35
3
6
-3y = 57 + 6x
2x + y = -19
y =
-2
x
-
19
7
56x = 720 - 10y
28x + 5y = 360
y =
-28
5
x
+
72
8
174
=
6
y
+
45
2
x
15x + 4y = 116
y =
-15
4
x
+
29
9
-97
19
-
4
19
y
= x
19x + 4y = -97
y =
-19
4
x
-
97
4
10
-2y = -14 - x
x - 2y = -14
y =
1
2
x
+
7
11
-4x = -20 + 2y
2x + y = 10
y =
-2
x
+
10
12
-10y = 70 - 16x
8x - 5y = 35
y =
8
5
x
-
7
13
-2
5
y
-
152
5
= x
5x + 2y = -152
y =
-5
2
x
-
76
14
-5
-
2
y
= x
x + 2y = -5
y =
-1
2
x
-
5
2
15
-3x = -21 + 3y
x + y = 7
y =
-
x
+
7
16
5
27
y
-
97
27
= x
27x - 5y = -97
y =
27
5
x
+
97
5
17
350
=
2
y
+
7
x
7x + 2y = 350
y =
-7
2
x
+
175
18
-15y = 315 + 72x
24x + 5y = -105
y =
-24
5
x
-
21