The slope of $\displaystyle{y}={2}{x}+{8}\usepackage{cmbright}\Huge\$ is 2 . A parallel line has the same slope. Its equation has the form $\displaystyle{y}={2}{x}+{b}\usepackage{cmbright}\Huge\$ . To find b, substitute $\displaystyle{\left(-{4},{1}\right)}\usepackage{cmbright}\Huge\$ for x and y:

$\displaystyle{1}={2}{\left(-{4}\right)}+{b}\usepackage{cmbright}\Huge\$ , or $\displaystyle{1}=-{8}+{b}\usepackage{cmbright}\Huge\$ , so $\displaystyle{9}={b}\usepackage{cmbright}\Huge\$

The equation of the line is $\displaystyle{y}={2}{x}+{9}\usepackage{cmbright}\Huge\$ .