Respuesta :

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!