Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(5.5 \: , \: - 9.5)}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( 9 , -9 ) be ( x₁ , y₁ ) and B ( 2 , - 10 ) be ( x₂ , y₂ )
Finding the midpoint
[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} }}[/tex]
[tex] \longrightarrow{ \sf{midpoint = ( \frac{9 + 2}{2} , \: \frac{ - 9 + ( - 10)}{2}}} )[/tex]
[tex] \longrightarrow{ \sf {midpoint = ( \frac{11}{2} \: , \: \frac{ - 9 - 10}{2}})} [/tex]
[tex] \longrightarrow{ \sf{midpoint = (5.5 \: , \: \frac{ - 19}{2}}} )[/tex]
[tex] \longrightarrow{ \sf{midpoint = (5.5 \: , - 9.5}})[/tex]
Hope I helped!
Best regards! :D
