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The center of the circle is at the coordinate: (1,6)

Explaination:

To find the answer all you need to do is add the x values together and divide by two and add the y values together and divide by two:

(x-values)

 (y-values)

Therfore the center is at point (1,6)

(1, 6 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( , )

Here (x₁, y₁ ) = (- 3, 5) and (x₂, y₂ ) = (5, 7) , then

midpoint = ( , ) = (, ) = (1, 6 )

The centre of the circle is (1, 6 )

answer:

c. the third graph