According to Hubble's law, the recessional velocity v v\,v of a distant galaxy is proportional to its distance d d\,d from Earth, such that v=H0dv = H_0 dv=H0d, where H0 H_0\,H0 is the Hubble constant. For relatively nearby galaxies, the cosmological redshift z z\,z is given by z≈vc\displaystyle z \approx \frac{v}{c}z≈cv, where c c\,c is the speed of light in a vacuum.
If a graph of redshift zzz (on the vertical axis) is plotted against distance ddd (on the horizontal axis), 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