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

Answer:

The coordinates of B are (5,2).

Step-by-step 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 :

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

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