Question

A line segment has endpoints S(-9,-4) and T(6,5). Point R lies on ST such that the ratio of SR to RT is 2:1. What are the coordinates​ of point R?​

Answer 1

Answer:

Find the difference between the coordinates first: x: 6-(-9)=15

y: 5-(-4)=9.

Now add the numbers of the ratio together(total ratio) : 2+1=3 and divide the distances by this,

x/(total ratio)=15/3=5

Y/(total ratio) =9/3=3

SR is 2/3 along the x distance so that’s ⅔ of 15=10 and 2/3 along the y distance which is ⅔ of 9 which is 6.

So we add 10 to the x-coord of the S to get 10-9=1; and 9 to the y-coord to get 6-4=2.

This gives us R(1,2).