Answer to Question #270006 in Analytic Geometry for Angel Nodado

Question

Identify the center and radius of x²+y²-8x+6y+16=0.Then sketch the graph.

Answer 1

$x^2+y^2-8x+6y+16=0$

$(x^2-8x+16)+(y^2+6y+9)-9=0$

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

$O(4, -3)$, $R=3$