Respuesta :

varshamittal029

The coordinates of B is (1,-3) .

  • A midpoint formula is a formula used to identify the midpoint between two data points. Except for geometry, research in  economics uses this calculation to calculate elastic moduli, etc.
  • The Midpoint Formula is given by [tex](x, y)=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex] where, [tex](x_1,y_1)[/tex] are the coordinates of the first point and  [tex](x_2,y_2)[/tex] are the coordinates of the second point.

It is given that midpoint of AB is (3, -1) and coordinates of A is (5, 1) .

Let the coordinate of B be (x, y) .

By using midpoint formula , we get

[tex](3, -1)=(\frac{5+x}{2} , \frac{y+1}{2} )\\[/tex]

On comparing , we get the x- coordinate

   [tex]\frac{5+x}{2} =3\\\5+x=6\\x=1[/tex]

On comparing , we get the y- coordinate

[tex]\frac{1+y}{2} =-1\\\\1+y=-2\\y=-3[/tex]

Hence , the coordinates of B is (1,-3) .

Learn more about midpoint formula here :

https://brainly.com/question/5566419

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