Find an equation of the line containing the centers of the two circles whose equations are given below. x2+y2- 4x+ 10y+4 = 0 x2+y2+10x+4y+25 = 0 The equation of the line is (Simplify your answer. Use integers or fractions for any numbers in the equation.)

The equation of the line is .

Step-by-step explanation:

Let be and the general equations of the two circles, which must be transformed into their standard forms, which are:

Where:

, - Components of the center of the circle, dimensionless.

- Radius of the circle, dimensionless.

1) Given

2) Associative property/Compatibility with addition

3) Perfect square trinomial/Result

The centers of both circles are and , respectively.

A line is represented by the following expression:

Where:

If , and , the equation of the line is:

The equation of the line is .

a

step-by-step explanation: