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?

Question

asked Dec 8, 2019 14.8k views

2 Answers

George G · Answer 1 · 2019-12-14T12:22:38+0000

Answer:

(2.9, 8.2)

Explanation:

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

((mx_2+nx_1)/(m+n), (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

((7(5)+3(-2))/(7+3), (7(10)+3(4))/(7+3))

((29)/(10), (82)/(10))

(2.9, 8.2)