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Question 392706:  I am having a hard time finishing this problem.
 
I need to find the equation of the line containing the given pair of points. 
(-7,-3) and (-5,-4)  
 
This is what I get so far.
 
-4-(-3)     1  
------- = - -  
-5(-7)      2
 
y-3=m (x-x)
 
y-3= 1/2 (x-x)
 
y-3= 1/2 (x-(-7)
 
y-3= 1/2 - ??  And this is where I keep getting lost I know I am suppose to multiply 1/2 and -7 but I keep getting the wrong answer somehow each time.... I know I am then suppose to subtract 3 from both sides to get y by itself but I am confused by then..I know the final equation should be I believe  y= 1/2x- ??
 
 
Thank you 
 Answer by Alan3354(69443)      (Show Source): 
You can  put this solution on YOUR website! I need to find the equation of the line containing the given pair of points. 
(-7,-3) and (-5,-4)  
This is what I get so far.  
-4-(-3) 1  
------- = - -  
-5(-7) 2  
Slope m = (-4 - (-3))/(-5 - (-7)) = -1/2, not +1/2 
---------------- 
y+3 = m(x+7) 
y+3 = (-1/2)(x+7) 
2y + 6 = -x - 7 
x + 2y = -13 
---------------- 
Or, use y = mx + b and either point to find b 
-3 = (-1/2)*(-7) + b 
b = -3 - 7/2 
--> y = (-1/2)x - 13/2 
---------------------------- 
---------------------------- 
y-3=m (x-x)  
y-3= 1/2 (x-x)  
y-3= 1/2 (x-(-7)  
y-3= 1/2 - ?? And this is where I keep getting lost I know I am suppose to multiply 1/2 and -7 but I keep getting the wrong answer somehow each time.... I know I am then suppose to subtract 3 from both sides to get y by itself but I am confused by then..I know the final equation should be I believe y= 1/2x- ??  
 
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