Correct. Yes, the lines are parallel. If $\displaystyle{6}{x}-{2}{y}={3}\usepackage{cmbright}\Huge\$ , then $\displaystyle-{2}{y}=-{6}{x}+{3}\usepackage{cmbright}\Huge\$ , so $\displaystyle{y}={3}{x}-\frac{{3}}{{2}}\usepackage{cmbright}\Huge\$ , so the two lines have the same slope.