Name _____________________________
Date ___________________
Linear Equations
Write an equation of the line that passes through the given two points.
1.
(
0
,
8
), (
5
,
33
)
2.
(
8
,
0
), (
17
,
-27
)
3.
(
3
,
6
), (
7
,
-10
)
4.
(
40
,
45
), (
84
,
144
)
5.
(
3
,
-6
), (
123
,
186
)
6.
(
24
,
-20
), (
74
,
-45
)
7.
(
4
,
-44
), (
40
,
-140
)
8.
(
1
,
7
), (
85
,
91
)
9.
(
34
,
21
), (
74
,
231
)
10.
(
2
,
3
), (
40
,
117
)
11.
(
-4
,
-4
), (
14
,
-88
)
12.
(
14
,
12
), (
39
,
-3
)
13.
(
11
,
-45
), (
23
,
-101
)
14.
(
8
,
-2
), (
54
,
-94
)
15.
(
7
,
-8
), (
79
,
352
)
16.
(
-3
,
6
), (
67
,
-22
)
17.
(
-46
,
-16
), (
-14
,
-64
)
18.
(
6
,
0
), (
45
,
130
)
Answer Key
1
5x - y
2
=
-4
5x - y = -8
y =
5
x
+
8
2
15
=
5
8
y
+
15
8
x
3x + y = 24
y =
-3
x
+
24
3
-2y = -36 + 8x
4x + y = 18
y =
-4
x
+
18
4
x =
4
9
y
+
20
9x - 4y = 180
y =
9
4
x
-
45
5
-24x = -162 - 15y
8x - 5y = 54
y =
8
5
x
-
54
5
6
-2
y
-
16
= x
x + 2y = -16
y =
-1
2
x
-
8
7
-25
2
-
3
8
y
= x
8x + 3y = -100
y =
-8
3
x
-
100
3
8
y = 6 + x
x - y = -6
y =
x
+
6
9
30
+
4
21
y
= x
21x - 4y = 630
y =
21
4
x
-
315
2
10
-9x = -9 - 3y
3x - y = 3
y =
3
x
-
3
11
-51
=
9
4
y
+
21
2
x
14x + 3y = -68
y =
-14
3
x
-
68
3
12
-3x = -102 + 5y
3x + 5y = 102
y =
-3
5
x
+
102
5
13
19
14
-
3
14
y
= x
14x + 3y = 19
y =
-14
3
x
+
19
3
14
7
-
1
2
y
= x
2x + y = 14
y =
-2
x
+
14
15
1
5
y
+
43
5
= x
5x - y = 43
y =
5
x
-
43
16
2x + 5y
2
=
12
2x + 5y = 24
y =
-2
5
x
+
24
5
17
x =
-2
3
y
-
170
3
3x + 2y = -170
y =
-3
2
x
-
85
18
-6y = 120 - 20x
10x - 3y = 60
y =
10
3
x
-
20