Answer:
(3, 5.5)
Step-by-step explanation:
Given the line segment AB with endpoints A(6, 4) and B(2, 6). If the coordinates of the point divide the line segment directed from A to B in the ratio of 1:3, then;
M(X, Y) = {(ax1+bx2)/a+b, ay1+by2/a+b}
X = ax1+bx2/a+b
X = 1(6) + 3(2)/1+3
X = 6+6/4
X = 12/4
X = 3
Similarly;
Y = ay1+by2/a+b
Y = 1(4)+3(6)/1+3
Y = 4+18/4
Y = 22/4
Y = 5.5
Hence the required coordinate is (3, 5.5)