In the figure, line and the x-axis are tangent to the circle at points P and S respectively, and line segment QS passes through the center R of the circle. What is the slope of I?

The slope of 1/2 indicates a relatively gentle incline, which does not match the described relationships in the circle. Given that the radius at point S forms a right angle with the tangent, the slope cannot be so shallow, as it would not correspond to a 45-degree angle.

This slope represents an angle of approximately 30 degrees, which is not applicable in this scenario since the radius at point S creates a right angle with the tangent line. The given geometric configuration does not support such a slope, as the angle formed must be 45 degrees.

The slope of √3/2 corresponds to an angle of around 60 degrees, which again does not fit the description of the relationship between the radius and the tangent at point S. The radius should create a 45-degree angle when intersected with the tangent line.

A slope of √3 suggests an angle of approximately 60 degrees, which is inappropriate in this context. The relationship between the radius and tangent must yield a slope of 1, reflecting the right angle that is formed.