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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?

 Aug 2, 2024
 #1
avatar+1752 
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The coordinates of the point are (2/3*(-6) + 1/3*(15), 2/3*19 + 1/3*(-5)) = (1,11).

 Aug 2, 2024
 #2
avatar+37107 
+1

Going form R to S : 


  X   goes from -6  to 15    a distance of 21      2/3 of this is 14       add 14 to -6 to get    x = 8

  Y   goes from 19 to -5     a distance of -24     2/3 of this is -16      add -16 to 19 to get  y = 3

 

(8,3) 

 Aug 2, 2024

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