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Point R is located at (3, 2) and point S is located at (8, 15) .

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Point R is located at  (3, 2) and point S is located at (8, 15) .

What are the coordinates of the point that partitions the directed line segment RS¯¯¯¯¯ in a  1:4 ratio?

Nov 8, 2017

#2
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*edit* I changed this answer because I'm pretty sure my old answer was wrong.

The new x  coordinate will be  3 + 1/(4 + 1) * (the positive difference of the x coordinates)    , and

the new  y  coordinate will be  2 + 1/(4 + 1) * (the positive difference of the y coordinates)

the new  x  coordinate   =   3 + 1/5(8 - 3)   =   3 + 5/5   =   4

the new  y  coordinate   =   2 + 1/5(15 - 2)   =   2 + 13/5   =   4.6

So the new coordinates are     ( 4 , 4.6 )

Nov 8, 2017
edited by hectictar  Dec 11, 2017
edited by hectictar  Dec 11, 2017

#1
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The RS has a line over it. I dont know how to put it on there.

Nov 8, 2017
#2
+1

*edit* I changed this answer because I'm pretty sure my old answer was wrong.

The new x  coordinate will be  3 + 1/(4 + 1) * (the positive difference of the x coordinates)    , and

the new  y  coordinate will be  2 + 1/(4 + 1) * (the positive difference of the y coordinates)

the new  x  coordinate   =   3 + 1/5(8 - 3)   =   3 + 5/5   =   4

the new  y  coordinate   =   2 + 1/5(15 - 2)   =   2 + 13/5   =   4.6

So the new coordinates are     ( 4 , 4.6 )

hectictar Nov 8, 2017
edited by hectictar  Dec 11, 2017
edited by hectictar  Dec 11, 2017
#3
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Can you tell me what the answer is as a decimal?

AngelRay  Nov 10, 2017
#4
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I changed my answer now...sorry about that! hectictar  Nov 10, 2017
edited by hectictar  Dec 11, 2017