Using the section formula, if a point (x,y,z) divides the line joining the points (x1,y1,z1) and (x2,y2,z3) in the ratio m:n, then;
(x,y,z)=(m+nmx2+nx1,m+nmy2+ny1,m+nmz2+nz1)AP:PB=2:3m:n=2:3(x,y,z)=(2+32(12)+3(−3),3+22(−5)+3(5),3+22(−15)+3(10))(x,y,z)=(524−9,5−10+15,5−30+30)(x,y,z)=(3,1,0)P⟹(x,y)=(3,1)
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