Incorrect. The slope of the given line is $\displaystyle-\frac{{1}}{{3}}\usepackage{cmbright}\Huge\$ . A parallel line has the same slope, so its equation has the form: $\displaystyle{y}=-\frac{{1}}{{3}}{x}+{b}\usepackage{cmbright}\Huge\$

To find b, substitute $\displaystyle{\left({9},-{7}\right)}\usepackage{cmbright}\Huge\$ for x and y. The correct answer is $\displaystyle-{4}\usepackage{cmbright}\Huge\$ .