Question

Line segment AB has endpoints A(7,4) and B(2,5). Find the coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3.

Answer 1

(23/4, 17/4)

Explanation:

(Mx2+nx1)/(m+n) & (my2+ny1)/(m+n)

Where the point divides the segment internally in the ration m:n.

(1)(2)+(3)(7)/(1+3), (1)(5)+(3)(4)/(1+3)=23/4+17/4=23/4,17/4