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
.