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

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+362

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?

AngelRay  Nov 8, 2017

#2
+5258
+1

(This might not be the best way to do it...)

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

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

the new  x  coordinate   =   3 + 1/4(8 - 3)   =   3 + 5/4   =   17/4

the new  y  coordinate   =   2 + 1/4(15 - 2)   =   2 + 13/4   =   21/4

So the new coordinates are     ( 17/4 , 21/4 )

Here's a graph. You can see that it looks about right.

hectictar  Nov 8, 2017
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#1
+362
0

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

AngelRay  Nov 8, 2017
#2
+5258
+1

(This might not be the best way to do it...)

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

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

the new  x  coordinate   =   3 + 1/4(8 - 3)   =   3 + 5/4   =   17/4

the new  y  coordinate   =   2 + 1/4(15 - 2)   =   2 + 13/4   =   21/4

So the new coordinates are     ( 17/4 , 21/4 )

Here's a graph. You can see that it looks about right.

hectictar  Nov 8, 2017
#3
+362
0

Can you tell me what the answer is as a decimal?

AngelRay  Nov 10, 2017
#4
+5258
0

Take a calculator and divide  17  by  4  .   17/4  =  4.25

I'll let you figure out  21/4  .

BTW....it is on the graph in decimal form......did you even look at it... ?

hectictar  Nov 10, 2017

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