Question

A circle has the equation 6x^2+6y^2+48x-24y-30=0. Graph the circle using the center (h,k) and radius r. Find the intercepts, if any, of the graph.

Answer 1

first divide both sides of the equation by 6, you get:
x^2+y^2+8x-4y-5=0

Answer 2

now you have to complete the square to get the center (h,k)
(x^2+8x+__)+(y^2-4y+__)-5=0