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 **

*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

#2**+1 **

Best Answer

*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