Respuesta :

Answer:

(-1, 5)

Step-by-step explanation:

The center of a circle is the midpoint of the diameter.

So we have to calculate the midpoint of the diameter, using this formula:

midpoint = (  [tex]\frac{x_{2 }+x_{1} }{2}[/tex]  , [tex]\frac{y_{2} + y_{1} }{2}[/tex] )

               =  ([tex]\frac{3 + (-5)}{2}[/tex]  ,  [tex]\frac{4 + 6}{2}[/tex]  )

               = (-1, 5)            

∴ The center of the circle lies at the point (-1, 5).