SOLUTION: I need help with this problem, i believe i have the right answer but i need someone to double check it and also help me graph it. Thank you for your time below is the problem.

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: I need help with this problem, i believe i have the right answer but i need someone to double check it and also help me graph it. Thank you for your time below is the problem.       Log On


   

Question 912019: I need help with this problem, i believe i have the right answer but i need someone to double check it and also help me graph it. Thank you for your time below is the problem.
The two points (-2,6) and (8,-2) are the endpoints of the diameter of a circle. What is the equation of this circle in standard form. The solution i got was (x-3)+(y-2)=41, is this the correct answer? I also need help graphing it if anyone can help me that would be great, thanks.
Answer by josgarithmetic(39838) About Me  (Show Source):
You can put this solution on YOUR website!
The distance formula will give the size of the diameter from which you can determine the size of the radius. The midpoint formula will give the coordinates for the center. You can then fill the standard form equation for the circle %28x-h%29%5E2%2B%28y-k%29%5E2=r%5E2 identifying (h,k) and the center point, and r is the radius.


A smaller amount of further help:
Your h and k,
%28-2%2B8%29%2F2=h;
%286%2B%28-2%29%29%2F2=k.