x^2+y^2+x-6y+9=0

Question

Graph the circle using the center (h,k) and radius r. find the intercepts

Answer 1

first, complete the squares:

x^2+x + y^2-6y = -9
x^2+x+(1/4) + y^2-6y+9 = -9 + 1/4 + 9
(x + 1/2)^2 + (y-3)^2 = 1/4

Now all should be clear. See
http://www.wolframalpha.com/input/?i=x^2%2By^2%2Bx-6y%2B9%3D0