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

1.  
( -8 , 7 ), ( 12 , -73 )
2.  
( 8 , 0 ), ( 10 , 10 )
3.  
( -6 , 7 ), ( 0 , -11 )
4.  
( -6 , 6 ), ( 57 , -120 )
5.  
( 30 , 38 ), ( 40 , 33 )
6.  
( -24 , 33 ), ( -20 , 27 )
7.  
( -18 , 17 ), ( 39 , 169 )
8.  
( -1 , -3 ), ( 39 , 189 )
9.  
( -5 , -5 ), ( 7 , 31 )
10.  
( -21 , -46 ), ( 27 , -318 )
11.  
( -2 , -1 ), ( 88 , -127 )
12.  
( 41 , -37 ), ( 85 , -4 )
13.  
( 7 , -4 ), ( 57 , -279 )
14.  
( -8 , 28 ), ( 58 , 72 )
15.  
( -33 , -9 ), ( 42 , -204 )
16.  
( -6 , 7 ), ( 22 , -105 )
17.  
( 0 , -6 ), ( 40 , 34 )
18.  
( 35 , 42 ), ( 95 , -186 )

 

Answer Key

 

1
-25
4
   -  
1
4
 y   = x
4x + y = -25
y =   -4 x   -   25
2
x =  
1
5
 y   +   8
5x - y = 40
y =   5 x   -   40
3
-22 =   2 y   +   6 x
3x + y = -11
y =   -3 x   -   11
4
2x + y
2
   =   -3
2x + y = -6
y =   -2 x   -   6
5
x =   -2 y   +   106
x + 2y = 106
y =  
-1
2
 x   +   53
6
2y = -6 - 3x
3x + 2y = -6
y =  
-3
2
 x   -   3
7
6y = 390 + 16x
8x - 3y = -195
y =  
8
3
 x   +   65
8
x =  
-3
8
   +  
5
24
 y
24x - 5y = -9
y =  
24
5
 x   +  
9
5
9
9x = -30 + 3y
3x - y = -10
y =   3 x   +   10
10
-17x = 495 + 3y
17x + 3y = -495
y =  
-17
3
 x   -   165
11
-10y = 38 + 14x
7x + 5y = -19
y =  
-7
5
 x   -  
19
5
12
-3x = -271 - 4y
3x - 4y = 271
y =  
3
4
 x   -  
271
4
13
11x + 2y
4
   =  
69
4
11x + 2y = 69
y =  
-11
2
 x   +  
69
2
14
3
2
 y   -   50   = x
2x - 3y = -100
y =  
2
3
 x   +  
100
3
15
-26x = 948 + 10y
13x + 5y = -474
y =  
-13
5
 x   -  
474
5
16
-17 =   1 y   +   4 x
4x + y = -17
y =   -4 x   -   17
17
x =   6   +   1 y
x - y = 6
y =   x   -   6
18
-5
19
 y   +  
875
19
   = x
19x + 5y = 875
y =  
-19
5
 x   +   175