Question

a segment has endpoints at (1, -2) The midpoint is at (-4, -2). What are the cooordinates of the other endpoint?

Answer 1

what the otherperson said

Explanation:

just read what the other person said

Answer 2

coordinate of the other endpoint is (-9,-2)

Explanation:

Given that a segment has endpoints at (1, -2). The midpoint is at (-4, -2).

Now we need to find about what are the coordinates of the other endpoint.

let the coordinates of other end points are (x,y)

Then mid point of (1,-2) and (x,y) is given by mid point formula:

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

`\left((x+1)/(2),(y-2)/(2)\right)=(-4,-2)`

`\Rightarrow (x+1)/(2)=-4, (y-2)/(2)=-2`

`\Rightarrow x+1=-8, y-2=-4`

`\Rightarrow x=-9, y=-2`

hence coordinate of the other endpoint is (-9,-2)