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**+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

#2**+1 **

Best Answer

(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