find an equation of the circle whose diameter has endpoints (-3,5) and (5,1)

Answer 1

Hi Abby F

Since you are given the endpoints of the diameter, the coordinatd of the midpoint would represent the center of the circle ( h, k)

You can use the midpoint formula to find these then just plug them into Equation of the Circle

You can use the distance between two points to get the length of the diameter, divide that by 2 to get the length of the radius then plug that into the equation

Equation of a circle

(x - h)² + (y - k)² = r

You can also use one of the points you've been given to check.