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).
