The midpoint of overline AB is M(0, - 7) . If coordinates of A are (- 2, - 6) , what are the coordinates of B?

Question

asked Jun 2, 2022 149k views

1 Answer

Peter Taylor · Answer 1 · 2022-06-06T22:53:10+0000

Given:

The midpoint of overline AB is M(0, - 7) .

The coordinates of A are (- 2, - 6).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

$Midpoint=\left((x_1+x_2)/(2),(y_1+y_2)/(2)\right)$

The midpoint of overline AB is M(0, - 7). Using the midpoint formula, we get

$M=\left((-2+a)/(2),(-6+b)/(2)\right)$

$(0,-7)=\left((-2+a)/(2),(-6+b)/(2)\right)$

On comparing both sides, we get

(-2+a)/(2)=0

-2+a=0

a=2

And,

(-6+b)/(2)=-7

-6+b=-14

b=-14+6

b=-8

Therefore, the coordinates of point B are (2,-8).