Question

Point E is located at (−2, 4) and point F is located at (5, 10) . What are the coordinates of the point that partitions the directed line segment EF¯¯¯¯¯ in a 7:3 ratio?

Answer 1

Answer:

(2.9, 8.2)

Step-by-step explanation:

Formula used for finding the coordinates of the point that partitions the directed line segment EF

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

Point E is located at (−2, 4) and point F is located at (5, 10)

(x1,y1) is (-2,4)  and (x2,y2) is (5,10) , m=7, n= 3

Plug in the values in the formula

$(\frac{7(5)+3(-2)}{7+3}, \frac{7(10)+3(4)}{7+3})$

$(\frac{29}{10}, \frac{82}{10})$

(2.9, 8.2)