A is at (-8,6) and C is at (2,5). What are the coordiantes of point B on AC such that AB = 2/5*AC?
x from -8 to 2 is distance of 10 2/5 of this distance added to -8 = -4
y 6 to 5 is a distance of -1 2/5 of this added to 6 = 5 3/5
B = [ - 8 + (2/5) ( 2 - - 8) , 6 + (2/5) ( 5 - 6) ] =
[ -8 + (2/5) (10) , 6 + (2/5)(-1) ] =
[-8 + 4 , 6 - 2/5 ] =
( -4 , 28/5)