For a distant galaxy moving at a non-relativistic speed, its redshift z z\,z is related to its recessional velocity v v\,v by z=vc\displaystyle z = \frac{v}{c}z=cv, where c c\,c is the speed of light. According to Hubble's law, v=H0dv = H_0 dv=H0d, where d d\,d is the distance to the galaxy and H0 H_0\,H0 is the Hubble constant.
If a cosmologist plots a graph with redshift z z\,z on the vertical axis against distance d d\,d on the horizontal axis (using consistent SI units), which of the following expressions represents the gradient of the line of best fit?
cH0\frac{c}{H_0}H0c
H0cH_0 cH0c
H0c\frac{H_0}{c}cH0
1H0\frac{1}{H_0}H01