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Sagot :
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 :
[tex]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[/tex]
So, the coordinates of B are (5,2).
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