What are the coordinates of the point on the directed line segment from (-5,-7) to (1,-1) that partitions the segment into a ratio of 1 to 2 ?

Answer 1

Coordinates will be 1/3 of the way between (-5,-7) and (1,-1)

Compute x coordinate of point:

distance between x coordinates = 1 - (-5) = 6

1/3 of that distance = 6/3 = 2

x coordinate = -5 + 2 = -3

Compute y coordinate of point:

distance between y coordinates = -1 - (-7) = 6

1/3 of that distance = 6/3 = 2

y coordinate = -7 + 2 = -5

coordinates of point (-3,-5)