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

Answer:

B(-5,5).

Step-by-step 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).

$Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)$

Midpoint of AB is

$Midpoint=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)$

$(-6,1)=\left(\dfrac{-7+a}{2},\dfrac{-3+b}{2}\right)$

On comparing both sides, we get

$\dfrac{-7+a}{2}=-6$

$-7+a=-12$

$a=-12+7$

$a=-5$

$\dfrac{-3+b}{2}=1$

$-3+b=2$

$b=2+3$

$b=5$

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