Segment in the direction from A to C Initial Point: A=(9,5)=(xa,ya)→xi=xa=9, yi=ya=5 Final point: C=(-7,1)=(xc,yc)→xf=xc=-7, yf=yc=1 B=(xb,yb)=? Proportion: r=AB/BC=3:1=3/1→r=3
xb=(xi+r*xf)/(1+r) Replacing xi=xa=9, xf=xc=-7 and r=3 xb=[9+3*(-7)]/(1+3) xb=(9-21)/4 xb=(-12)/4 xb=-3
yb=(yi+r*yf)/(1+r) Replacing yi=ya=5, yf=yc=1 and r=3 yb=[5+3*(1)]/(1+3) yb=(5+3)/4 yb=8/4 yb=2
