Problema Solution
Find the point, M, that divides segment AB into a ratio of 5:6 if A is at (0, 22) and B is at (11, 0).
Answer provided by our tutors
The sum of the ratio numbers (5+6) is 11, so M is 5/11 of the distance from A to B.
The coordinates of M are (xm,ym), where
xm =0 + (5/11)(11 - 0)
xm = 5
and
ym = 22 + (5/11)(0 - 22)
ym = 12
the point M has coordinates (5, 12).