Find the point, M, that divides segment AB into a ratio of 5:3 if A is at (-4, -2) and B is at (4, -10).
A)(1, -7)
B)(2, -7)
C)(2, -8)
D)(1, -8)
The point can be calculated as
[ -4 + (4 - - 4)(5/8) , -2 + (-10 - - 2)(5/8) ] =
[ -4 + (8)(5/8) , -2 + ( -8)(5/8) ]
[ - 4 + 5 , -2 - 5 ] =
( 1 , - 7 )