The line joining (-3,10) and (4,3) is divided in what ratio by the point (-1,8)?

2 answers

from (-3,10 to (-1,8)
length is sqrt(2^2 +2^2=sqrt8
from (-1,8) to (4,3)
length is sqrt (5^2 + 5^2)=sqrt50

ratio: sqrt (8/50)=2/5 sqrt(2/2)=2/5
Ratio of x is (-3 - -1) : (-1 - 4)

= -2 : -5 or 2:5

Ratio of y is (10 - 8) : (8 - 3)

= 2:5

The ratio is 2 : 5