Question

Point M is the midpoint of AB. The coordinates of point A are (-7, 1) and the coordinates of M are (-4,1). What are the coordinates of point B? The coordinates of point B are :

Answer 1

Answer:

The coordinates of point B are : (-1, 1)

Step-by-step explanation:

$\frac{-7+x^{2} }{2} = -4\\\frac{1+y^{2} }{2} =1$ You multiply -4 by 2 which gives you -8 then you multiply 1 by 2 which gives 2.

Then you create the equations $-7 + x^{2} = -8\\1 + y^{2} = 2$ you substitute -7 for +7 and add 7 to -8 which gives -1 ($x^{2}$) and subtract 1 from 2 which gives you 1 ($y^{2}$)

To check your answer use the midpoint formula $\frac{-7+-1}{2} =\frac{-8}{2} =-4\\\frac{1+1}{2} =\frac{2}{2} =1$ which gives you your midpoint (-4,1)