Question

On a coordinate plane, a line is drawn from point J to point K. Point J is at (negative 15, negative 5) and point K is at (25, 15). 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? x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 y = (StartFraction m Over m + n EndFraction) (y 2 minus y 1) + y 1 (–13, –3) (–7, –1) (–5, 0) (17, 11)

Answer 1

b

Explanation:

i think that's right

Answer 2

`(x,y) = (-7,-1)`

Explanation:

Given

`(x_1,y_1) = (-15,-5)`

`(x_2,y_2) = (25,15)`

`m:n = 1:4`

Required

Determine the coordinate of the partition

This is calculated as:

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

Substitute values for x's and y's

`(x,y) = ((4*-15+ 1*25)/(1+4),(4*-5+ 1*15)/(1+4))`

`(x,y) = ((-60+ 25)/(5),(-20+ 15)/(5))`

`(x,y) = ((-35)/(5),(-5)/(5))`

`(x,y) = (-7,-1)`