What are the coordinates of the point on the directed line segment from (−10,−8) to (−8,8) that partitions the segment into a ratio of 1 to 3?

Answer 1

(-9.5, -4)

a ratio of 1:3 means 1/4 of the distance between the 2 points

half the distance is the averages of the coordinates

(-10,-8) to (-8,8) has a midpoint of (-9,0)

Now find the midpoint between (-10,-8) and (-9,0): average the coordinates

-10+(-9))/2 = -9.5 (-8+0)/2 =-4

that's the point (-9.5,-4)