Question

Point a is at (-7,-7) and m is at (-6,-1) what are the coordinates of point b

Answer 1

The coordinates of point b are (-5,5).

Explanation:

Given:

Point a is at (-7,-7) and m is at (-6,-1).

So, to find the coordinates of point b.

Let a (-7,-7) be
`(x_(1),y_(1))`, m (-6,-1) and b
`(x_(2) ,y_(2))`.

Now, putting the formula to get the coordinates:

`m=(x_(1)+x_(2))/(2) , (y_(1)+y_(2))/(2)`

⇒
`(-6,-1)=(-7+x_(2))/(2) , (-7+y_(2))/(2)`

So, here we will make two equations to find the value of
`x_(2) andy_(2)`:

`-6=(-7+x_(2))/(2)`

multiplying both sides by 2

⇒
`-12=-7+x_(2)`

⇒
`-5=x_(2)`

And, now same method for getting the value of
`y_(2)`.

`-1=(-7+y_(2))/(2)`

multiplying both sides by 2

⇒
`-2=-7+y_(2)`

⇒
`5=y_(2)`.

The value of
`(x_(2) ,y_(2))` =
`(-5,5)`.

Therefore, the coordinates of point b are (-5,5).