Find the ratio in which the line segment joining the points (−3,10) and (6,−8) is divided by (−1,6)
Substituting (x1,y1)=(−3,10) and (x2,y2)=(6,−8) in the section
formula, we get (k(6)+1(−3)k+1,k(−8)+1(10)k+1)=(−1,6)
(6k−3k+1,−8k+10k+1)=(−1,6)
Comparing the x - coordinate,
6k−3k+1=−1
⟹6k−3=−k−1
7k=2
k=27
Hence, the ratio is 2:7