Points D, E, and F are collinear and DE:DF= 2/5. Point E is locate at (-3,2), point F is located at (-3,-4). What is the coordin
ate point of point D?
       
      
                
     
    
    
    
    
    1 answer:
            
              
              
                
                
DE : DF = 2 : 5
So, DE = 2 parts and DF = 5 parts
EF = DF - DE
     = 5 - 2
     = 3 parts
DE : EF = 2 : 3
Let D be (x, y).
Then, the point E divides the line segment DF internally in the ratio 2 : 3.
So, E is 

But, it is given that E is (-3, 2).
Therefore, 

3x - 6 = -15 and 3y - 8 = 10
3x = -9 and 3y = 18
x = -3 and y = 6
Hence, D is (-3, 6) 
 
                                
             
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