A student conducts an experiment to determine the radius of curvature \(R\) of a concave spherical mirror using an optical bench. The student places an illuminated object at several positions such that \(d_o > f\) and records the corresponding distances \(d_i\) to a viewing screen where sharp real images are formed. The student linearizes the data by plotting \(\dfrac{1}{d_i}\) on the vertical axis as a function of \(\dfrac{1}{d_o}\) on the horizontal axis. Which of the following correctly identifies the theoretical slope of the best-fit line and the relationship used to determine the radius of curvature \(R\) from the vertical intercept \(b\)?