  Using a new sub-sample of observed strong gravitational lens systems, for the
first time, we present the equation for the angular diameter distance in the
$y$-redshift scenario for cosmography and use it to test the cosmographic
parameters. In addition, we also use the observational Hubble data from cosmic
chronometers and a Joint analysis of both data is performed. Among the most
important conclusions are that this new analysis for cosmography using Strong
Lensing Systems is equally competitive to constrain the cosmographic parameters
as others presented in literature. Additionally, we present the reconstruction
of the effective equation of state inferred from our samples, showing that at
$z=0$ those reconstructions from Strong Lensing Systems and Joint analysis are
in concordance with the standard model of cosmology.
