Transform the equation x^2 + y^2 -8x +6y +9 = 0 Into a form which will help you sketch the graph

Answer 1

x^2 - 8x + y^2 + 6y = -9

(x^2-8x + 16) + (y^2 + 6y+9) = -9 + 16 + 9 = 16

(x-4)^2 + (y+3)^2 = 16

it is a circle with center at radius (4,-3) and radius r=4