Answer:
(2.6, 3.2) are the coordinates of the point that partitions the directed line segment EF in a 6:4 ratio
Step-by-step explanation:
Point E is located at (−4, 5) and point F is located at (7, 2)
To find coordinates of the point we apply formula
[tex](\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})[/tex]
(x1,y1) is (-4,5) (x2,y2) is (7,2)
m=6, n=4
Plug in the values in the formula
[tex](\frac{6(7)+4(-4)}{6+4}, \frac{6(2)+4(5)}{6+4})[/tex]
[tex](\frac{26}{10}, \frac{32}{10})[/tex]
(2.6, 3.2)
