Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(7.5 \: , \: 5.5)}}}}}[/tex]
Step-by-step explanation:
Let the points be A and B
Let A ( 10 , 7 ) be ( x₁ , y₁ ) and B ( 5 , 4 ) be ( x₂ , y₂ )
Finding the midpoint
[tex] \boxed{ \sf{midpoint = (\frac{x1 + x2}{2} , \: \frac{y1 + y2}{2})}} [/tex]
[tex] \dashrightarrow{ \sf{( \frac{10 + 5}{2} \: , \: \frac{7 + 4}{2} )}}[/tex]
[tex] \dashrightarrow{ \sf{( \frac{15}{2} \: , \frac{11}{2}}} )[/tex]
[tex] \dashrightarrow{ \sf{(7.5 \: , \: 5.5)}}[/tex]
Hope I helped!
Best regards! :D
