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

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

Explanation:

`(-7+x^(2) )/(2) = -4\\(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
`(-7+-1)/(2) =(-8)/(2) =-4\\(1+1)/(2) =(2)/(2) =1` which gives you your midpoint (-4,1)