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

1.  
( 0 , 2 ), ( 2 , 3 )
2.  
( 7 , -3 ), ( 17 , -43 )
3.  
( 7 , -8 ), ( 19 , -68 )
4.  
( -32 , -41 ), ( 8 , -181 )
5.  
( -7 , 0 ), ( 8 , 24 )
6.  
( 6 , -2 ), ( 45 , 76 )
7.  
( -44 , 38 ), ( -10 , -115 )
8.  
( 5 , 0 ), ( 41 , -180 )
9.  
( -37 , 41 ), ( -12 , 56 )
10.  
( -15 , 48 ), ( 1 , 8 )
11.  
( -7 , 4 ), ( 43 , -171 )
12.  
( -8 , -1 ), ( 49 , -96 )
13.  
( -34 , -46 ), ( 20 , 98 )
14.  
( 7 , 0 ), ( 35 , -140 )
15.  
( 0 , -6 ), ( 105 , 78 )
16.  
( 46 , -30 ), ( 94 , -186 )
17.  
( 34 , -44 ), ( 78 , 165 )
18.  
( 1 , -1 ), ( 111 , -111 )

 

Answer Key

 

1
-2y = -4 - x
x - 2y = -4
y =  
1
2
 x   +   2
2
-3y = -75 + 12x
4x + y = 25
y =   -4 x   +   25
3
x =  
-1
5
 y   +  
27
5
5x + y = 27
y =   -5 x   +   27
4
-14x = 612 + 4y
7x + 2y = -306
y =  
-7
2
 x   -   153
5
x =   -7   +  
5
8
 y
8x - 5y = -56
y =  
8
5
 x   +  
56
5
6
-4x = -28 - 2y
2x - y = 14
y =   2 x   -   14
7
-320
9
   -  
2
9
 y   = x
9x + 2y = -320
y =  
-9
2
 x   -   160
8
8 =  
8
25
 y   +  
8
5
 x
5x + y = 25
y =   -5 x   +   25
9
3x - 5y
4
   =   -79
3x - 5y = -316
y =  
3
5
 x   +  
316
5
10
-2
5
 y   +  
21
5
   = x
5x + 2y = 21
y =  
-5
2
 x   +  
21
2
11
6y = -123 - 21x
7x + 2y = -41
y =  
-7
2
 x   -  
41
2
12
5x + 3y
3
   =  
-43
3
5x + 3y = -43
y =  
-5
3
 x   -  
43
3
13
-24x = 402 - 9y
8x - 3y = -134
y =  
8
3
 x   +  
134
3
14
x =   7   -  
1
5
 y
5x + y = 35
y =   -5 x   +   35
15
x =  
5
4
 y   +  
15
2
4x - 5y = 30
y =  
4
5
 x   -   6
16
-4
13
 y   +  
478
13
   = x
13x + 4y = 478
y =  
-13
4
 x   +  
239
2
17
822
19
   +  
4
19
 y   = x
19x - 4y = 822
y =  
19
4
 x   -  
411
2
18
0 =   1 y   +   1 x
x + y = 0
y =   - x