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

Answer:

The answer is

( 2 , - 8)

Step-by-step explanation:

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

$M = ( \frac{x_1 + x_2}{2} , \: \frac{y_1 + y_2}{2} )$

where

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

Let's represent the coordinates of B by

( x , y)

So we have

$(0 \: , \: - 7) = ( \frac{ - 2 + x}{2} \: , \: \frac{ - 6 + y}{2} )$

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

$0 = \frac{ - 2 + x}{2} \\ 0 = - 2 + x \\ \\ x = 2$

For the y coordinate

$- 7 = \frac{ - 6 + y}{2} \\ - 14 = - 6 + y \\ y = - 14 + 6 \\ \\ y = - 8$

So the coordinates of B is

( 2 , - 8)

Hope this helps you

Answer 2

Answer:

( 2 , - 8)

Step-by-step explanation: