Question

Find an equation of the circle that has center (5,-1) and passes through (-5,-4)

Answer 1

Do you know the general formula for a circle?

Answer 2

Formula for a circle with center at \((h,k)\) and radius \(r\) is \[(x-h)^2+(y-k)^2 = r^2\]

Fill in the values for the coordinates of the center. Then to find \(r^2\), plug in the \(x,y\) coordinates of the point the circle passes through.