Answer:
(7,4)
Step-by-step explanation:
The midpoint formula is:
[tex]M=(\frac{x_1+x_1}{2},\frac{y_1+y_2}{2})[/tex]
Let (5,6) be x₁ and y₁ and let's let (9,2) be x₂ and y₂. Thus, the midpoint is:
[tex]M=(\frac{5+9}{2},\frac{6+2}{2})[/tex]
Add:
[tex]M=(\frac{14}{2},\frac{8}{2})[/tex]
Divide by 2:
[tex]M=(7,4)[/tex]
So, our midpoint is (7,4).
And we're done!