Question

The midpoint of XY is M(0, 4). One endpoint is X(6, –2). Find the coordinate of the other endpoint Y. A.(–6, 10) B.(3, 1) C.(–6, 6) D.(12, 0)

Answer 1

The answer is A.

Explanation:

Given that the formula for midpoint is :

`m = ( (x1 + x2)/(2) , (y1 + y2)/(2) )`

So you have to subtitute the coordinates into the formula :

`let \: m = (0,4) \\ let \: (x1,y1) = (6, - 2)`

`(0,4) = ( (6 + x2)/(2) , ( - 2 + y2)/(2) )`

Next, you have to solve it by comparison :

`x⇒ \\ (6 + x)/(2) = 0 \\ 6 + x = 0 \\ x = - 6`

`y⇒ \\ ( - 2 + y)/(2) = 4 \\ - 2 + y = 8 \\ y = 10`