Question
Write the center-radius form of the circle with the given equation. Give the center and radius, and graph the circle. $$x^{2}+y^{2}-4 x-6 y+9=0$$
Step 1
We also leave some space to complete the square for both x and y terms. The equation becomes: $$ (x^{2}-4x) + (y^{2}-6y) = -9 $$ Show more…
Show all steps
Your feedback will help us improve your experience
James Kiss and 96 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Write the center-radius form of the circle with the given equation. Give the center and radius. $$ x^{2}+y^{2}+4 x+6 y+9=0 $$
Nonlinear Functions, Conic Sections, and Nonlinear Systems
Circles Revisited and Ellipses
Write the center-radius form of the circle with the given equation. Give the center and radius, and graph the circle. $$ x^{2}+y^{2}+6 x-6 y+9=0 $$
Transcript
600,000+
Students learning Algebra with Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD