Question

The midpoint of JK is point L at (–1, 8). One endpoint is J(4, –15). Which equations can be solved to determine the coordinates of the other endpoint, K? Check all that apply.  = –1  = 4 –15 + y1 = 4 –15 + y1 = 16  = x1 = y1

Answer 1

Its A and C!!

Explanation:

took the quiz

Answer 2

Given two endpoints:
`(x_1,\ y_1)` and
`(x_2,\ y_2)`, the midpoint of the two endpoints
`(x_m,\ y_m)` is given by

`(x_m,\ y_m)=\left( (x_1+x_2)/(2) ,\ (y_1+y_2)/(2)\right)`

Thus, given the midpoint L(-1, 8) and one endpoint J(4, -15). The second endpont is given by

`(-1,\ 8)=\left( (x_1+4)/(2) ,\ (y_1+(-15))/(2)\right)`
i.e.

`(x_1+4)/(2) =-1 \\ \\ x_1+4=-2 \\ \\ x_1=-2-4=-6`
and

`(y_1+(-15))/(2)=8 \\ \\ y_1-15=16 \\ \\ y_1=16+15=31`