Question

what are the coordinates of the point on the directed line segment (-1,-2) to (9,-10) that partitions the segment into a ratio of 3 to 1

Answer 1

Answer:

[6.5,-7.25]

Step-by-step explanation:

Given the partitioning ratio as 3:1

#Find the length of the x-coordinate and multiply by the ratio:

x length=9--1=10

=>$\frac{1}{4}\times 10=2.5$

#We subtract 2.5 from the x-max to get the point=9-2.5=6.5

#Find the length of the y-coordinate and multiply by the ratio:

x length=-9--2=-7

=>$\frac{1}{4}\times -7=-1.75$

#We subtract -1.75 from the y-max to get the point=-9--1.75=-7.25

Hence,  the coordinates that partitions the segment into a ratio of 3 to 1 is [6.5,-7.25]