Answer:
Step-by-step explanation:
Consider the end points (-7,-1) and (-5,-9)
The center is the mid point between these two points.
The value of center is,
(h,k) = ((-7-5)/2, (-1-9)/2)
(h,k) = (-12/2,-10/2)
(h,k) = (-6, -5)
If the center (h,k) = (-6, -5) and radius is r then the equation of the circle is,
Equation of Circle,
((x-h)^2)+((y-k)^2) = r^2
((x+6)^2)+(y+5)^2 = r^2
Hence, the answer is ((x+6)^2)+(y+5)^2 = r^2.
