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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?

 Jun 17, 2022
 #1
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The point is 2/3*(-6,19) + 1/3*(15,-5) = (1,11).

 Jun 17, 2022
 #2
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2/3 of the way from 6 to 12 would be 10.  Agreed?

 

2/3(12-6) = 2/3 (6) = 4          6+4=10      That is how to find it more formally.

 

so

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?

 

the x value will be    -6  +  2/3(15 - -6) 

 

and you can find the y value

 Jun 18, 2022

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