Name _____________________________
Date ___________________
Linear Equations
Write an equation of the line that passes through the given two points.
1.
(
8
,
-5
), (
18
,
5
)
2.
(
-1
,
1
), (
5
,
4
)
3.
(
4
,
0
), (
20
,
-80
)
4.
(
-45
,
-42
), (
-30
,
-92
)
5.
(
8
,
2
), (
84
,
-169
)
6.
(
-5
,
49
), (
25
,
-95
)
7.
(
-40
,
37
), (
-13
,
-26
)
8.
(
-6
,
1
), (
18
,
-11
)
9.
(
-7
,
-43
), (
33
,
165
)
10.
(
3
,
-2
), (
63
,
283
)
11.
(
-2
,
4
), (
46
,
-140
)
12.
(
-43
,
38
), (
-22
,
10
)
13.
(
8
,
-8
), (
92
,
328
)
14.
(
-3
,
8
), (
41
,
-234
)
15.
(
-3
,
-6
), (
97
,
354
)
16.
(
22
,
-1
), (
52
,
-11
)
17.
(
7
,
-45
), (
39
,
-93
)
18.
(
-36
,
-31
), (
18
,
-175
)
Answer Key
1
2x = 26 + 2y
x - y = 13
y =
x
-
13
2
x - 2y
4
=
-3
4
x - 2y = -3
y =
1
2
x
+
3
2
3
-1
5
y
+
4
= x
5x + y = 20
y =
-5
x
+
20
4
-3168
5
=
33
10
y
+
11
x
10x + 3y = -576
y =
-10
3
x
-
192
5
-8y = -160 + 18x
9x + 4y = 80
y =
-9
4
x
+
20
6
-10y = -250 + 48x
24x + 5y = 125
y =
-24
5
x
+
25
7
-169
7
-
3
7
y
= x
7x + 3y = -169
y =
-7
3
x
-
169
3
8
x =
-4
-
2
y
x + 2y = -4
y =
-1
2
x
-
2
9
x =
5
26
y
+
33
26
26x - 5y = 33
y =
26
5
x
-
33
5
10
19x = 65 + 4y
19x - 4y = 65
y =
19
4
x
-
65
4
11
x =
-2
3
-
1
3
y
3x + y = -2
y =
-3
x
-
2
12
-29
2
-
3
4
y
= x
4x + 3y = -58
y =
-4
3
x
-
58
3
13
4x - y
4
=
10
4x - y = 40
y =
4
x
-
40
14
11x = -17 - 2y
11x + 2y = -17
y =
-11
2
x
-
17
2
15
x =
5
18
y
-
4
3
18x - 5y = -24
y =
18
5
x
+
24
5
16
x =
-3
y
+
19
x + 3y = 19
y =
-1
3
x
+
19
3
17
-4y = 138 + 6x
3x + 2y = -69
y =
-3
2
x
-
69
2
18
-1524
5
=
12
5
y
+
32
5
x
8x + 3y = -381
y =
-8
3
x
-
127