Answer:
The coordinates of point b are (-5,5).
Step-by-step 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
, m (-6,-1) and b
.
Now, putting the formula to get the coordinates:
![m=\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}](https://tex.z-dn.net/?f=m%3D%5Cfrac%7Bx_%7B1%7D%2Bx_%7B2%7D%7D%7B2%7D%20%2C%20%5Cfrac%7By_%7B1%7D%2By_%7B2%7D%7D%7B2%7D)
⇒![(-6,-1)=\frac{-7+x_{2}}{2} , \frac{-7+y_{2}}{2}](https://tex.z-dn.net/?f=%28-6%2C-1%29%3D%5Cfrac%7B-7%2Bx_%7B2%7D%7D%7B2%7D%20%2C%20%5Cfrac%7B-7%2By_%7B2%7D%7D%7B2%7D)
So, here we will make two equations to find the value of
:
![-6=\frac{-7+x_{2}}{2}](https://tex.z-dn.net/?f=-6%3D%5Cfrac%7B-7%2Bx_%7B2%7D%7D%7B2%7D)
multiplying both sides by 2
⇒![-12=-7+x_{2}](https://tex.z-dn.net/?f=-12%3D-7%2Bx_%7B2%7D)
⇒![-5=x_{2}](https://tex.z-dn.net/?f=-5%3Dx_%7B2%7D)
And, now same method for getting the value of
.
![-1=\frac{-7+y_{2}}{2}](https://tex.z-dn.net/?f=-1%3D%5Cfrac%7B-7%2By_%7B2%7D%7D%7B2%7D)
multiplying both sides by 2
⇒![-2=-7+y_{2}](https://tex.z-dn.net/?f=-2%3D-7%2By_%7B2%7D)
⇒
.
The value of
=
.
Therefore, the coordinates of point b are (-5,5).