Question

derivation of mid point formula

Answer 1

as we know coordinate of a point which divides a line into m:n
x=(mx2+nx1)(m+n),. Y=(nx2+nx1)/(m+n)

in a line a mid point P(x,y) divides a line into 1:1

hence,m=1. and n=1

x=(1*x1+1*x2)/2. Y=(1*y 1+1*y2)/2

hence,x=(x1+x2)/2. Y=(y1+y2)/2

coordinates are,
P{(x1+x2)/2,(y1+y2)/2}
proved

Answer 2

mid pt formula m1×x2+m2×x1/m1+m2