derivation of mid point formula
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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
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
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mid pt formula m1×x2+m2×x1/m1+m2
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