Question

Can someone help me answer part b please .As I have no idea what it is ?

Answer 1

The coordinates of B is (4,1)

Explanation:

You can use the formula of mid-point. It is given that the midpoint of AB is (4,5). So you have to substitute the coordinates of A into the formula :

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

Let M be (4,5),

Let (x1,y1) be A(4,9),

Let (x2,y2) be B coordinates,

`(4 ,5) = ( (4 + x)/( 2) , (9 + y)/(2) )`

Then you could solve it :

`(4 + x)/(2) = 4`

`4 + x = 8`

`x = 4`

`(9 + y)/(2) = 5`

`y + 9 = 10`

`y = 1`

Answer 2

(4,1)

Explanation: