Correct. The slope of the given line is 6. A perpendicular line has a slope that is the negative reciprocal of 6, so its equation has the form: $\displaystyle{y}=-\frac{{1}}{{6}}{x}+{b}\usepackage{cmbright}\Huge\$

To find b, substitute $\displaystyle{\left(-{18},{10}\right)}\usepackage{cmbright}\Huge\$ for x and y:

$\displaystyle{10}=-\frac{{1}}{{6}}{\left(-{18}\right)}+{b}\usepackage{cmbright}\Huge\$ , or $\displaystyle{10}={3}+{b}\usepackage{cmbright}\Huge\$ , so $\displaystyle{7}={b}\usepackage{cmbright}\Huge\$