Final answer:
The line is attached to the circle to connect the center of the circle to a point on the circle, indicating its radius and position.
Step-by-step explanation:
The line attached to the circle of a solution when graphing is used to connect the center of the circle to a point on the circle (Option C).
When graphing a circle, the line is drawn from the center of the circle to a point on the circle to indicate the radius and position of the circle.
For example, if the equation of a circle is (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center of the circle and r is the radius, the line helps to determine the position and size of the circle.