Question

If nby3,4 is the midpoint of the line segment joining the points a(-6,5) and b(-2,3) , then find the value of n.

Answer 1

Answer:

Let the midpoint be c

Therefore, a(-6,5), b(-2,3) and c(n/3 ,4)

∴ac:bc=1:1

∴By section formula,

c(n/3 ,4)=(-2-6/2) , (5+3/2)

n/3=-8/2

n/3= -4

n= -12