Point $C$ is on the segment $AB$ which has endpoints $A(-1, 0)$ and $B(3, 8)$. Point $C$ is three times as far from point $A$ as it is from point $B$. What are the coordinates of point $C$?

Guest Jan 15, 2020

#2**+1 **

Point $C$ is on the segment $AB$ which has endpoints $A(-1, 0)$ and $B(3, 8)$. Point $C$ is three times as far from point $A$ as it is from point $B$. What are the coordinates of point $C$?

We can find the coordinates of C as follows :

[ -1 + (3/4)( 3 - -1) , 0 + (3/4)(8 - 0) ] =

[-1 + (3/4)(4) , 0 + (3/4)(8) ] =

[ -1 + 3, 0 + 6 ] =

( 2, 6 ) = C

CPhill Jan 15, 2020