Correct. Find the slope using the given points: $\displaystyle\frac{{-{10}-{\left(-{4}\right)}}}{{-{6}-{12}}}=\frac{{-{6}}}{{-{18}}}=\frac{{1}}{{3}}\usepackage{cmbright}\Huge\$

Substitute the slope (m) into $\displaystyle{y}={m}{x}+{b}\usepackage{cmbright}\Huge\$ : $\displaystyle{y}=\frac{{1}}{{3}}{x}+{b}\usepackage{cmbright}\Huge\$

Substitute either point for x and y: $\displaystyle-{10}=\frac{{1}}{{3}}{\left(-{6}\right)}+{b}\usepackage{cmbright}\Huge\$

Solve for b: $\displaystyle-{10}=-{2}+{b}\usepackage{cmbright}\Huge\$ , so $\displaystyle-{8}={b}\usepackage{cmbright}\Huge\$