Question

Point E is located at (−4, 5) and point F is located at (7, 2) . What are the coordinates of the point that partitions the directed line segment EF¯¯¯¯¯ in a 6:4 ratio? Enter your answer, as decimals, in the boxes. ( , )

Answer 1

Just took the test :))

Step-by-step explanation:

Look at the image down below!! ヽ(o＾▽＾o)ノ

Answer 2

(2.6, 3.2) are the coordinates of the point that partitions the directed line segment EF in a 6:4 ratio

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

`((mx_2+nx_1)/(m+n), (my_2+ny_1)/(m+n))`

(x1,y1) is (-4,5) (x2,y2) is (7,2)

m=6, n=4

Plug in the values in the formula

`((6(7)+4(-4))/(6+4), (6(2)+4(5))/(6+4))`

`((26)/(10), (32)/(10))`

(2.6, 3.2)