Name _____________________________    
Date ___________________
Linear Equations
Write an equation of the line that passes through the given two points.

1.  
( 1 , -7 ), ( 9 , -39 )
2.  
( 7 , 2 ), ( 16 , -43 )
3.  
( 3 , -5 ), ( 13 , -25 )
4.  
( -7 , -7 ), ( 39 , 16 )
5.  
( -16 , -19 ), ( 68 , -334 )
6.  
( -6 , -7 ), ( 4 , -22 )
7.  
( 6 , -8 ), ( 81 , -428 )
8.  
( -8 , 0 ), ( 46 , -54 )
9.  
( 8 , 21 ), ( 36 , 91 )
10.  
( -8 , -31 ), ( 117 , 69 )
11.  
( 0 , -3 ), ( 60 , -203 )
12.  
( -40 , 16 ), ( -4 , -155 )
13.  
( 6 , 5 ), ( 44 , -14 )
14.  
( 2 , 3 ), ( 82 , -237 )
15.  
( 5 , 6 ), ( 73 , 142 )
16.  
( -42 , 43 ), ( -6 , 103 )
17.  
( 3 , 5 ), ( 33 , -125 )
18.  
( -7 , -7 ), ( 7 , -84 )

 

Answer Key

 

1
-3
4
   -  
1
4
 y   = x
4x + y = -3
y =   -4 x   -   3
2
10x = 74 - 2y
5x + y = 37
y =   -5 x   +   37
3
-2y = -2 + 4x
2x + y = 1
y =   -2 x   +   1
4
x =   2 y   +   7
x - 2y = 7
y =  
1
2
 x   -  
7
2
5
8y = -632 - 30x
15x + 4y = -316
y =  
-15
4
 x   -   79
6
3x + 2y
2
   =   -16
3x + 2y = -32
y =  
-3
2
 x   -   16
7
x =  
32
7
   -  
5
28
 y
28x + 5y = 128
y =  
-28
5
 x   +  
128
5
8
-2x = 16 + 2y
x + y = -8
y =   - x   -   8
9
4 =   4 y   +   -10 x
5x - 2y = -2
y =  
5
2
 x   +   1
10
x =  
5
4
 y   +  
123
4
4x - 5y = 123
y =  
4
5
 x   -  
123
5
11
10x = -9 - 3y
10x + 3y = -9
y =  
-10
3
 x   -   3
12
12y = -2088 - 57x
19x + 4y = -696
y =  
-19
4
 x   -   174
13
x =   -2 y   +   16
x + 2y = 16
y =  
-1
2
 x   +   8
14
27
2
 =  
3
2
 y   +  
9
2
 x
3x + y = 9
y =   -3 x   +   9
15
2x - y
2
   =   2
2x - y = 4
y =   2 x   -   4
16
-5x = 339 - 3y
5x - 3y = -339
y =  
5
3
 x   +   113
17
-6y = -108 + 26x
13x + 3y = 54
y =  
-13
3
 x   +   18
18
x =  
-91
11
   -  
2
11
 y
11x + 2y = -91
y =  
-11
2
 x   -  
91
2