The midpoint of AB ‾ AB is M ( − 1 , − 5 ) M(−1,−5). If the coordinates of A are ( 3 , − 8 ) (3,−8), what are the coordinates of B?

Respuesta :

Answer:

(-5,-2)

Step-by-step explanation:

To find the mid-point the formula is;

[tex](x_1+x_2)/2 ,(y_1+y_2)/2[/tex]

In this case point A (3,-8) , mid-point (-1,-5), point B (x,y)

Thus (3+x)/2 = -1  

        3+x=-2

            x= -2-3 = -5

And

      ( -8+y)/2 = -5

      -8 + y = -5*2

       -8 +y = -10

             y= -10 +8 = -2

Hence point B coordinates are: (-5, -2)