The midpoint of \overline{\text{AB}}AB is M(-2, 1)M(−2,1). If the coordinates of AA are (1, -2)(1,−2), what are the coordinates of BB?

B=(-5, 4)

The coordinates of BB are (-5, 4)(-5,4)

Step-by-step explanation:

To solve, we will follow the steps below;

mid point = m(-2,1)

coordinates A is (1,-2)

To find the coordinates B

We will use the formula

(,) = ( + /2  ,       +/2)

from the question

(,)  = (-2,1)    

this implies

= -2     = 1

Also

A( , )           B( ,)

A(1, -2)           B( ,)

= 1     =-2

we are to look for      and

= + /2

-2 = 1 + /2

multiply both-side by 2

-4 = 1+

subtract 1 from both-side of the equation

-4-1 =

-5 =

= -5

Similarly,

=   +/2

 1 =   -2+/2

multiply both-side of the equation  by 2

2 =   -2 +

add 2 to both-side of the equation

2+2 = -2+ 2 +

 4=

   = 4

The coordinates of BB are (-5, 4)(-5,4)