6. Given WY with W(3, 7) and Y(13, -8), if X partitions WY such that the ratio of WX to XY

is 3:2, find the coordinates of X.

(5, 1)

Step-by-step explanation:

Given the coordinates W(3, 7) and Y(13, -8) divided into the ratio 3:2

The midpoint formula is expressed as;

M(X, Y) = (ax1+bx2/a+b, ay1+by2/a+b)

a = 3,

b = 2

x1 = 3

y1 = 7

x2 = 13

y2 = -2

To get the coordinate of X

x = ax1+bx2/a+b

x = 3(3)+2(123/3+2

x = 9+26/5

x = 35/5

x= 7

y= ay1+by2/a+b

y = 3(7)+2(-8)/2+3

y = 21-16/5

y = 5/5

y = 1

Hence the coordinate of X is (x, y) = (5, 1)

chiken

step-by-step explanation: