Answer:
The center is the point [tex](-1,2)[/tex]
Step-by-step explanation:
we know that
The center of the circle is equal to the midpoint of the endpoints of the diameter
so
The formula to calculate the midpoint between two points is equal to
[tex]M(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]
substitute the values
[tex]M(\frac{-7+5}{2},\frac{3+1}{2})[/tex]
[tex]M(\frac{-2}{2},\frac{4}{2})[/tex]
[tex]M(-1,2)[/tex]
therefore
The center is the point [tex](-1,2)[/tex]
