Question

The midpoint of ab is M (-6,1 ). if the coordinates of A are (-7,-3 ),what are the coordinates of B

Answer 1

B(-5,5).

Explanation:

It is given that midpoint of AB is M (-6,1).

Coordinates of A are (-7,-3 ).

We need to find the coordinates of point B.

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

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

Midpoint of AB is

`Midpoint=\left((-7+a)/(2),(-3+b)/(2)\right)`

`(-6,1)=\left((-7+a)/(2),(-3+b)/(2)\right)`

On comparing both sides, we get

`(-7+a)/(2)=-6`

`-7+a=-12`

`a=-12+7`

`a=-5`

`(-3+b)/(2)=1`

`-3+b=2`

`b=2+3`

`b=5`

Therefore, the coordinates of B are (-5,5).