Point-Slope Form Practice Problems Worksheet

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Name:   _ ________________________________________________  
Algebra   1    
Point-­‐Slope   F orm  
 
Point-­‐Slope   F orm   P ractice   P roblems  
 
Graph   t he   l ine   w ith   t he   g iven   s lope   t hat   c ontains   t he   g iven   p oint  
 
1)   s lope   =   – 1;   ( 3,   1 )    
 
2)   s lope   =   – 2;   ( –4,   – 2)  
                        3 )   s lope   =   4 ;   ( –1,   4 )  
 
 
 
 
 
 
 
 
 
 
 
Write   a n   e quation   i n   p oint-­‐slope   f orm   f or   t he   l ine   w ith   t he   g iven   s lope   t hat   c ontains   t he  
given   p oint.  
 
4)   s lope   =   – 4;   ( 1,   5 )    
 
5)   s lope   =   0 ;   ( 3,   7 )    
 
6)   s lope   =   2 ,   ( 3,   – 6)  
 
Write   a n   e quation   i n   s lope-­‐intercept   f orm   f or   t he   l ine   w ith   t he   g iven   s lope   t hat   c ontains  
the   g iven   p oint.  
 
7)   s lope   =   2 ;   ( –1,   1 )    
 
8)   s lope   =   – 4;   ( 4,   2 )      
 
9)   s lope   =   3 ;   ( 2,   – 7)  
 
10)   s lope   =   0 ;   ( 4,   – 2)    
 
11)   s lope   =   3 ;   ( 4,   7 )    
 
12)   s lope   =   8 ;   ( 1,   8 )  
 
Write   e ach   e quation   i n   s lope-­‐intercept   f orm   f or   t he   l ine   t hrough   t he   t wo   p oints.  
 
13)   ( –2,   2 )   a nd   ( 2,   – 2)  
 
14)   ( 2,   7 )   a nd   ( –4,   4 )    
 
15)   ( –1,   2 )   a nd   ( 4,   – 23)  
 
16)   ( 0,   1 1)   a nd   ( –7,   – 3)  
 
17)   ( 3,   1 )   a nd   ( 4,   3 )    
 
18)   ( 1,   – 4)   a nd   ( –2,   5 )  
 
Graph   t he   l ine   w ith   t he   g iven   s lope   t hat   c ontains   t he   g iven   p oint  
 
1
3
1
19)   s lope   =  
;   ( 1,   2 )    
 
20)   s lope   =  
;   ( 1,   – 2)  
                          21)   s lope   =   −
;   ( 3,   1 )  
4
5
2
 
 
 
 
 
 

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