The midpoint of \overline{\text{AB}} AB is M(0, -3)M(0,−3). If the coordinates of AA are (2, -5)(2,−5), what are the coordinates of BB?

The formating kinda screwed up

Respuesta :

Using the mid-point concept, it is found that the coordinates of B are (-2, -1).

  • The mid-point of two points is the mean of the coordinates of each point.

In this problem:

  • The points are: A(2, -5) and B(x,y).
  • The mid-point is (0, -3).

Applying the concept for both the x and y-coordinates, we have that:

[tex]\frac{x + 2}{2} = 0[/tex]

[tex]x + 2 = 0[/tex]

[tex]x = -2[/tex]

[tex]\frac{-5 + y}{2} = -3[/tex]

[tex]-5 + y = -6[/tex]

[tex]y = -1[/tex]

The coordinates of B are (-2, -1).

To learn more about the mid-point concept, you can take a look at https://brainly.com/question/10956693