Question

The midpoint of AB is M(7,-5). If the coordinates of A are (6,-7), what are the coordinates of B?

Answer 1

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a(6,-7) m(7,-5) letb(p,q)

Now,

Let a(6,-7) be x1 ,y1

Let b(p,q) be x2,y2

x,y = (7,-5)

Using Mid point Formula,

x = x1+x2 y= y1+y2

_____ , _____

2 2

7 = 6+p -5 = -7+q

___ , ____

2 2

or, 7×2=6+p , -5×2= -7+q

or, 14=6+p , -10= -7+q

or, p=14-6 , q= -7+10

p=8 , q= 3

Explanation:

So , The coordinate of B(8,3)

Thank you