Variations across different galactic environments for the rSFMS (left), rKS (center) and rMGMS (right) relations. Top row: binned data for each galactic environment separately, following the same color scheme from Fig. 7, while the black dashed line shows the overall best-fitting power law to all data points together. Bottom row: slope measured for each individual environment (on the x-axis). The vertical offset between each binned environment and the overall best-fitting power law is reported on the y-axis. It has been calculated by fitting a power law with a fixed slope (that of the overall relation) to each binned environment, and computing the intercept difference respect to the overall best fitting power law. Its error-bars represent the standard deviation of the difference between the binned environment and the overall best fit. The black diamond show the slope of the overall best-fitting power law (see Sect. 4.2 for discussion).