Problema Solution
the line segment joining (-2,8) and (5,3) is divided into 4 equal parts. Find the points of division closest to (5,3).
Answer provided by our tutors
P1=(-8,1), P5(11,7) --> P1P5=(19,6) -->
P1P5/4 = (19/4, 6/4)=(19/4,3/2)
P2=P1+P1P5/4 =(-8,1)+(19/4,3/2) = (-13/4, 5/2)
P3=P1+2·P1P5/4 =(-8,1)+2· (19/4,3/2) = (3/2, 4)
P4=P1+3·P1P5/4 =(-8,1)+3·(19/4,3/2) = (25/4, 11/2)