What are the coordinates of the point on the directed line segment from ( 3 , − 1 ) (3,−1) to ( 9 , 8 ) (9,8) that partitions the segment into a ratio of 1 to 2?

Answer 1

point p=(xp,yp)

xp=3+(1/3)(9-3)

xp=3+2=5

yp=-1+(1/3)(8-[-1])

yp=-1+3=2

p=(5,2)