Question

The midpoint of AB is M(1, -4). If the coordinates of A are (-3,-6), what are the coordinates of B?

Answer 1

The coordinates of B is (5,-2)

Explanation:

In order to find the coordinates of B, you have to use midpoint formula. Then substitute the following values into the formula :

`m = ( (x1 + x2)/(2) , (y1 + y2)/(2) )`

Let (x1,y1) be A (-3,-6),

Let (x2,y2) be B,

Let midpoint be M (1,-4),

`(1, - 4) = (( - 3 + x2)/(2) , ( - 6 + y2)/(2) )`

`by \: comparison, \:`

`( - 3 + x2)/(2) = 1`

`- 3 + x2 = 2`

`x2 = 5`

`( - 6 + y2)/(2) = - 4`

`- 6 + y2 = - 8`

`y2 = - 2`