Answer:
Equation of circle is: 
Step-by-step explanation:
We need to find an equation of the circle that satisfies the stated conditions. (Give your answer in standard notation.)
Endpoints of a diameter A(−6, 3) and B(4, 7)
The general equation of circle is: 
Where r is radius and (h,k) is centre of circle.
Finding centre of circle
The midpoint of diameter is centre of circle.
So, finding midpoint of A(−6, 3) and B(4, 7)
The formula used is: 
We have x_1=-6, y_1=3, x_2=4, y_2=7

So, we get Midpoint (x,y)=(-1,5)
Finding radius of circle
Radius of circle can be found by first finding diameter using distance formula and then divide it by 2.

So, Diameter = 10.77
Radius = Diameter/2 = 5.38
Equation of circle
Equation of circle having centre(-1,5) and radius r = 5.38 is:

So, Equation of circle is: 