Question

what is the equation of the circle with center 6 7 that passes through the point 4 2

Answer 1

apply the distance formula between (6,7) and (4,2) to get your radius (r)

let (6,7) be equal to (h,k)

plug h, k, and r into the circle equation

(x-h)^2 + (y-k)^2 = r^2 (leave x and y alone)