Question

What are the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4? (–13, –3) (–7, –1) (–5, 0) (17, 11)

Answer 1

Your Answer Is B or (-7,-1)

Explanation:

Answer 2

Answer: (-7,-1)

Complete question is attached below

The coordinates of J is (-15,-5) and K is (25,15)

The formula to find point E (x,y) is

`x=(m)/(m+n)(x_2-x_1)+x_1`

`y=(m)/(m+n)(y_2-y_1)+y_1`

We know the ratio is 1:4

m=1 and n=4

(x1,y1) is (-15,-5) and (x2,y2) is (25,15)

Now plug in all the values in the formula and find out x and y

`x=(1)/(1+4)(25-(-15))-15=(1)/(5)*40 - 15 = -7`

`y=(1)/(1+4)(15-(-5))-5=(1)/(5)*20 -5=-1`

The point E is (-7,-1)