In an experiment to determine the properties of an ion beam, ions of charge \(q\) and mass \(m\) enter an accelerating region with an unknown, nonzero initial speed \(v_0\). The ions are accelerated through a variable electric potential difference \(\Delta V\) and emerge with a final speed \(v\). Which of the following correctly identifies the quantities to plot on the vertical and horizontal axes to yield a linear relationship, along with the expressions for \(\dfrac{q}{m}\) and \(v_0\) in terms of the slope \(M\) and vertical intercept \(b\) of the best-fit line?