Question

M(2,4) is the Midpoint between the points A(-2,9) and B
Find the coordinates of B

Answer 1

B(6, -1)

Explanation:

M(2,4) ⇒ AB(2, 4)

A(-2, 9)

Find the coordinates of B

- - - - - - - - - - - - - - - - - - - - - - -

Midpoint formula:
`m=((x_1+x_2)/(2),(y_1+y_2)/(2))` where
`x_1,y_1` are the coordinates of the first point and
`x_2,y_2` are the coordinates of the second point

`(2, 4)=(((-2)+x_2)/(2),(9+y_2)/(2))`

Calculations:

-2 +
`x_2` has to equal to 6 so that when we divide 4 by 2, it equals 2

9 +
`y_2` has to equal to -1 so that when we divide 8 by 2, it equals 4

Thus,

The coordinates of B are (6, -1)