Question

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

Answer 1

Answer:

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

Step-by-step 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:

$\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

$\left(\frac{x+1}{2},\frac{y-2}{2}\right)=(-4,-2)$

$\Rightarrow \frac{x+1}{2}=-4, \frac{y-2}{2}=-2$

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

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

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