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

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).