Question

Write the equation of a circle where A(1,−4)and B(−7,8)are the endpoints of a diameter.

Answer 1

Find the midpoint of the two endpoints.
That will be the center since they are endpoints of a diameter.
Find the distance between the center and either one of the two given points.
That will be the radius.

Equation of the circle is: (x - h)^2 + (y - k)^2 = r^2
where (h,k) is the center and r is the radius of the circle.

Answer 2

Thank you.. I tried working this out but i still getting the wrong answer.. could you show me how to plug everything into the formulas and the steps that you take? please? @aum

Answer 3

Nevermind, I figured it out. Thank you so much!

Answer 4

Okay.

Answer 5

What equation did you get?

Answer 6

(x+3)^2+(y-2)^2=52 I believe that is right.. at least it looks that way.

Answer 7

You did good! :)

(Sorry the notifications are not working properly and I did not know about your reply until long after it was posted.)