Question

Find the coordinates for the point Y that lies on the directed segment from X(-1,3) to Z(5,6) and partitions the segment in the ration 2:3

Answer 1

(2.6, 4.8)

Explanation:

The midpoint segment formula is expressed as;

M(X, Y) = [(ax2+bx1)/a+b, (ay2+by1)/a+b]

X = ax1+bx2)/a+b

Y = ay1+by2)/a+b

Given X(-1,3) to Z(5,6) and a = 2, b = 3

X = 2(-1)+3(5)/2+3

X =(-2+15)/5

X =13/5

X = 2.6

Similarly;

Y = 2(3)+3(6)/2+3

Y =(6+18)/5

Y =24/5

Y = 4.8

hence the required coordinate of Y is (2.6, 4.8)