Question

Write the standard equation for the circle center (–6, –8), that passes through (0, 0).

Answer 1

\[( x+6)^ + (y+8)^2= r^2
\]
What is r?

Answer 2

\[( x+6)^2 + (y+8)^2= r^2

\]

Answer 3

Reverse the center coordinates and square the radius.
Plug it into (x - h)^2 + (y - k)^2 = r^2

Answer 4

\[
r=\sqrt{ 6^2 + 8^2} =10
\]

Answer 5

\[( x+6)^2 + (y+8)^2=100

\]