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

(2.6, 4.8)

Step-by-step 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)

For the top one you would subtract 3y form both sides. Then you would divide by -5 on both sides again—and that’s how you find for”x”.

For the bottom you would subtract 9x from both sides. Then you would divide by -4 on both sides too— and that’s how you find “y”☺️