To what extent must the extreme segment A (4,-2) and B(2/3,-1) be extended in the AB direction so that its length triples?

Let C (x,y) be the point till the line segment gets extended such that length of AC = 3 times the length of AB. Therefore, AB(m1):BC(m2) = 1: 2 x-coordinate of B = ( m1.x2 + m2.x1)/(m1+m2) 2/3 = (1.x+ 2(4))/3 Or x + 8 = 2 x = -6 y-coordinate of B = ( m1.y2 + m2.y1)/(m1+m2) -1 = (1.y+ 2(-2))/3 Or y - 4 = -3 y = 1 Therefore, the line segment to be extended up to C (-6,1).