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Given R(-6, 19) and S(15, -5), what are the coordinates of the point on segment RS two-thirds of the distance from R to S?

 Jul 19, 2019
 #1
avatar+19325 
+2

From -6 to 15 is a distance of   21    2/3 of this is 14      -6 + 14 = 8 = x coordinate

 

For y   19 to -5   is  a distance of 24 (in the negative direction)  2/3 of 24 = 16  

           19 -16 = 3 = y coordinate   (it is 19 MINUS 16 because it is in the MINUS direction)

 

 

8,3

 Jul 19, 2019
 #2
avatar+103917 
+2

We can compute this as follows :

 

[  -6 + (2/3)(15 - -6) ,  19 + (2/3) (-5 - 19) ]  =  [ -6 + (2/3)(21) , 19 + (2/3)(-24) ]   =

 

[ - 6 + 14 , 19 + -16 ]  =

 

(8, 3)

 

cool cool cool

 Jul 19, 2019

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