Question

The midpoint of AB is M(0, – 7). If the coordinates of A are (-2,-6),

what are the coordinates of B?

Answer 1

( 2 , - 8)

Explanation:

Answer 2

The answer is

( 2 , - 8)

Explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

`M = ( (x_1 + x_2)/(2) , \: (y_1 + y_2)/(2) ) \\`

where

(x1 , y1) and (x2 , y2) are the points

Let's represent the coordinates of B by

( x , y)

So we have

`(0 \: , \: - 7) = ( ( - 2 + x)/(2) \: , \: ( - 6 + y)/(2) )`

To find the x and y - coordinates of B , we compare the the x and y coordinates of the left side to the ones on the right

So we have

For the x coordinate

`0 = ( - 2 + x)/(2) \\ 0 = - 2 + x \\ \\ x = 2`

For the y coordinate

`- 7 = ( - 6 + y)/(2) \\ - 14 = - 6 + y \\ y = - 14 + 6 \\ \\ y = - 8`

So the coordinates of B is

( 2 , - 8)

Hope this helps you