Decide whether or not the equation has a circle as its graph. If it does not, describe the graph.
-$$x ^ { 2 } + y ^ { 2 } - 6 x + 8 y + 25 = 0$$
A) no; the graph is nonexistent
B) yes
C) no; the graph is the point $( 3 , - 4 )$
D) no; the graph is the point $( - 3,4 )$

Question

Quizplus · Accepted Answer

The equation can be rewritten by completing the square: $(x-3)^2 + (y+4)^2 = 0$, which represents a single point at $(3, -4)$.

Decide Whether or Not the Equation Has a Circle as Its