Question

The endpoints of the diameter of a circle are (-7,3) and (5,1) . What is the center of the circle

Answer 1

Answer:

The center is the point $(-1,2)$

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

$M(\frac{x1+x2}{2},\frac{y1+y2}{2})$

substitute the values

$M(\frac{-7+5}{2},\frac{3+1}{2})$

$M(\frac{-2}{2},\frac{4}{2})$

$M(-1,2)$

therefore

The center is the point $(-1,2)$