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

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

$(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n})$

(x1,y1) is (-4,5)   (x2,y2) is (7,2)

m=6, n=4

Plug in the values in the formula

$(\frac{6(7)+4(-4)}{6+4}, \frac{6(2)+4(5)}{6+4})$

$(\frac{26}{10}, \frac{32}{10})$

(2.6, 3.2)

Answer 2

Answer:

Just took the test :))

Step-by-step explanation:

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