Answer:
The coordinates of point B are : (-1, 1)
Step-by-step explanation:
[tex]\frac{-7+x^{2} }{2} = -4\\\frac{1+y^{2} }{2} =1[/tex] You multiply -4 by 2 which gives you -8 then you multiply 1 by 2 which gives 2.
Then you create the equations [tex]-7 + x^{2} = -8\\1 + y^{2} = 2[/tex] you substitute -7 for +7 and add 7 to -8 which gives -1 ([tex]x^{2}[/tex]) and subtract 1 from 2 which gives you 1 ([tex]y^{2}[/tex])
To check your answer use the midpoint formula [tex]\frac{-7+-1}{2} =\frac{-8}{2} =-4\\\frac{1+1}{2} =\frac{2}{2} =1[/tex] which gives you your midpoint (-4,1)
