Question

Point A is at (-2, 4) and point M is at (2.5,3.5).

Point M is the midpoint of point A and point B.
What are the coordinates of point B?

Answer 1

c

Explanation:

c

Answer 2

The coordinate of point B is (
`x_2` ,
`y_2` ) = 7 , 11

Explanation:

Given as :

The coordinate of point A =
`x_1` ,
`y_1` = - 2 , 4

The coordinate of point M =
`x_3` ,
`y_3` = 2.5 , 3.5

Let The coordinate of point B =
`x_2` ,
`y_2`

where M is the mid-point of the line joining points A and B

So, from mid-point theorem

`x_3` =
`(x_1 + x_2)/(2)`

Or, 2.5 =
`( -2 + x_2)/(2)`

Or, 2.5 × 2 = - 2 +
`x_2`

Or,
`x_2` = 5 + 2

∴
`x_2` = 7

Similarly

`y_3` =
`(y_1 + y_2)/(2)`

Or, 2.5 =
`( 4 + y_2)/(2)`

Or, 3.5 × 2 = 4 +
`y_2`

Or,
`y_2` = 7 + 4

∴
`y_2` = 11

So, The coordinate of point B = (
`x_2` ,
`y_2` ) = 7 , 11

Hence, The coordinate of point B is (
`x_2` ,
`y_2` ) = 7 , 11 Answer