Answer:
Coordinates of B is (3,-4)
Step-by-step explanation:[tex]\frac{-7+x^{2} }{2}=-2[/tex]
[tex]\frac{2+y^{2} }{2} =-1[/tex]
You multiply -2 by 2 to get -4 and then create the equation [tex]-7+x^{2} = -4[/tex] then you substitue -7 for +7 and add +7 to -4 which gives you 3 (x coordinate of B)
You multiply -1 by 2 to get -2 and then create the equation[tex]2+y^{2} =-2[/tex] then you subtract 2 by -2 which gives you -4 (y coordinate of B)
To check your answer use the midpoint formula [tex]( \frac{x^{1} +x^{2}}{2} ) ( \frac{y^{1} +y^{2}}{2} )=M[/tex]
[tex]\frac{-7+3}{2} =\frac{-4}{2} =-2\\\frac{2+ -4}{2} =\frac{-2}{2} =-1[/tex] which will give you the midpoint (-2,-1)
