The two circle equations are and
.
Convert the circle equations into standard form by using completing square method.
\Find the center of .
Circle equation .
To complete the square add and
to each side of equation.
.
.
Compare it with standard form.
\Center .
Find the center of .
Circle equation .
To complete the square add and
to each side of equation.
Compare it with standard form.
\Center .
The line passes through the centers of the two circles.
\The line equation passing two points is .
and
.
Substitute the above values.
\.
The line equation is .