Question

The midpoint of AB is M (4,-2) . If the coordinates of A are (3,-6) , what are the coordinates of B

Answer 1

The coordinates of B are (5,2).

Explanation:

Given that,

The midpoint of AB is M (4,-2).

The coordinates of A are (3,-6)

We need to find the coordinates of B. Let the coordinates of B are (x,y).

The mid point is given by :

`M=((x_1+x_2)/(2),(y_1+y_2)/(2))\\\\(4,-2)=((3+x)/(2),(y-6)/(2))\\\\(3+x)/(2)=4\ \text{and}\ (y-6)/(2)=-2\\\\3+x=8\ \text{and}\ y-6=-4\\\\x=5,y=2`

So, the coordinates of B are (5,2).