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 [tex](x_{1},y_{1})[/tex], m (-6,-1) and b [tex](x_{2} ,y_{2})[/tex].
Now, putting the formula to get the coordinates:
[tex]m=\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}[/tex]
⇒[tex](-6,-1)=\frac{-7+x_{2}}{2} , \frac{-7+y_{2}}{2}[/tex]
So, here we will make two equations to find the value of [tex]x_{2} andy_{2}[/tex]:
[tex]-6=\frac{-7+x_{2}}{2}[/tex]
multiplying both sides by 2
⇒[tex]-12=-7+x_{2}[/tex]
⇒[tex]-5=x_{2}[/tex]
And, now same method for getting the value of [tex]y_{2}[/tex].
[tex]-1=\frac{-7+y_{2}}{2}[/tex]
multiplying both sides by 2
⇒[tex]-2=-7+y_{2}[/tex]
⇒[tex]5=y_{2}[/tex].
The value of [tex](x_{2} ,y_{2})[/tex] = [tex](-5,5)[/tex].
Therefore, the coordinates of point b are (-5,5).
