If the z-coordinate of a point on the line joining the points B3,−2,2andC6,−17,−4 is 0, Then x-coordinate of the point is

Suppose that a point Pdivides the line segment joining the points  B3,−2,2and C6,−17,−4  in the ratio m:nSince the z coordinate is given zero, it implies that2m−4nm+n=0It gives 2m−4n=02m=4nmn=21The  x-coordinate of the point  Pis  23+162+1=123=4