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

1.  
(6,3), (14,7)




2.  
(-1,-3), (4,-8)




3.  
(8,-6), (14,12)




4.  
(-6,-31), (38,-141)




5.  
(49,-24), (65,48)




6.  
(2,-26), (17,-106)




7.  
(0,0), (38,-114)




8.  
(-7,-2), (118,-152)




9.  
(27,3), (87,43)




10.  
(6,-2), (18,-50)




11.  
(3,7), (15,-56)




12.  
(18,46), (73,189)




13.  
(22,23), (64,-75)




14.  
(8,5), (72,-251)




15.  
(7,-7), (57,-17)




16.  
(23,-17), (47,-101)




17.  
(4,5), (76,-373)




18.  
(7,-3), (55,-75)




 

Answer Key

 

1
-0 =  
-3
2
y  +  
3
4
x
x - 2y = -0
y =  
1
2
x   -  -0
2
x =  -4  -  1y
x + y = -4
y =  -x   -  4
3
y = -30 + 3x
3x - y = 30
y =  3x   -  30
4
-15x = 276 + 6y
5x + 2y = -92
y =  
-5
2
x   -  46
5
9x - 2y
3
  =  163
9x - 2y = 489
y =  
9
2
x   -  
489
2
6
-48x = 138 + 9y
16x + 3y = -46
y =  
-16
3
x   -  
46
3
7
x =  0  -  
1
3
y
3x + y = 0
y =  -3x
8
15y = -156 - 18x
6x + 5y = -52
y =  
-6
5
x   -  
52
5
9
3
2
y  +  
45
2
  = x
2x - 3y = 45
y =  
2
3
x   -  15
10
-1
4
y  +  
11
2
  = x
4x + y = 22
y =  -4x   +  22
11
12y = 273 - 63x
21x + 4y = 91
y =  
-21
4
x   +  
91
4
12
4
13
  +  
5
13
y  = x
13x - 5y = 4
y =  
13
5
x   -  
4
5
13
x =  
-3
7
y  +  
223
7
7x + 3y = 223
y =  
-7
3
x   +  
223
3
14
3y = 111 - 12x
4x + y = 37
y =  -4x   +  37
15
1 =  
-5
28
y  +  
-1
28
x
x + 5y = -28
y =  
-1
5
x   -  
28
5
16
127
7
  -  
2
7
y  = x
7x + 2y = 127
y =  
-7
2
x   +  
127
2
17
63x = 312 - 12y
21x + 4y = 104
y =  
-21
4
x   +  26
18
9x = 45 - 6y
3x + 2y = 15
y =  
-3
2
x   +  
15
2