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Point C is located at the origin. Point Q at (-1,-2) partitions CD in a ratio of 1:6. What are the coordinates of point D?

Mathisfornerds  Jan 28, 2018
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Point C is located at the origin. Point Q at (-1,-2) partitions CD in a ratio of 1:6. What are the coordinates of point D?

 

Think about this

QD  must be 6 times the distance CQ

 

Let  m be the x coordinate of D

 

So

 

x coordinate of Q +  6 times ( the difference in the x coordinate of Q - the x coordinate of the origin)  = m

 

So

 

-1 +  6 (-1 - 0)  =  m

-1 + 6(-1)  = m

-1 - 6  =  m

-7  = m

 

Similarly

 

Let  n be the y coordinate of D

 

So

 

y coordinate of Q +  6 times ( the difference in the y coordinate of Q - the y coordinate of the origin)  =  n

 

So

 

-2  + 6(-2 - 0)  =  n

-2 + 6(-2) = n

-2 - 12  = n

-14  = n

 

So....D  = (m ,n)  =  (-7 , -14 )

 

 

cool cool cool

CPhill  Jan 28, 2018

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