+0  
 
-4
1767
3
avatar+73 

The coordinates of the endpoints of QS are Q(−9,8) and S(9,−4). I'm confused about finding the numerator and the denominator of the ratio. 

 May 1, 2020
 #1
avatar+1005 
-3

Hi. It seems like you already know the coordinates of R. If you do, assume A:B, it's also a/b.

 May 1, 2020
edited by hugomimihu  May 1, 2020
 #2
avatar+128079 
+4

Hey, GM!!!

 

Note that if   QR :RS  = 1 : 2....then  (think about this)....QR  must just be 1 / [ 1 + 2 ]  = 1/3  of the  total length of  QS

 

 

So  numerator  = 1

And denominator  = 3

 

Here's the way to find R

 

( -9 + (1/3) (9 - - 9) , 8 + (1/3) ( -4 - 8) )  =

 

(-9 + (1/3)(18) , 8 + (1/3) (-12) ) =

 

( -9 + 6, 8 - 4)   =

 

(-3, 4)  = R

 

See this image to verify this :

 

 

 

cool cool cool

 May 1, 2020
 #3
avatar+73 
-1

Thanks CPhill! This makes more sense now. I thought I had to plug in the coordinates and solve them somehow.

GAMEMASTERX40  May 1, 2020

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