If P(x,y) divides the line segment joining points A(x1,y1) and B(x2,y2) internally in the ratio m:n,
then, x=mx2+nx1m+n and y=my2+nx1m+n
Given:x1=7,y1=−6,x2=3,y2=4,m=1 and n=2
∴x=1(3)+2(7)1+2,y=1(4)+2(−6)1+2 [by section formula]⇒x=3+143,y=4−123⇒x=173,y=−83