The equation of circle having a diameter with endpoints (-2, 1) and (6, 7) is
(x - 4)² + (y - 3)² = 25
(x - 2)² + (y - 4)² = 25
(x - 2)² + (y - 4)² = 100

Step-by-step explanation:

step 1

Find the diameter of the circle

the formula to calculate the distance between two points is equal to

substitute the values

The radius is half the diameter

so

step 2

Find the center of the circle

the center of the circle is the midpoint between the endpoints of the diameter

so

The center is

step 3

Find the equation of the circle

The equation of the circle is

substitute the values

answer: hey there,

the answer you are looking for is a..

hope this you!