Correct. To determine the slope of the line, solve for $\displaystyle{y}\usepackage{cmbright}\Huge\$ : if $\displaystyle{3}{x}+{y}={7}\usepackage{cmbright}\Huge\$ , then $\displaystyle{y}=-{3}{x}+{7}\usepackage{cmbright}\Huge\$ . This is the slope intercept form of the line, so the slope is -3.