Correct. The slope intercept form of the line $\displaystyle{x}+{2}{y}={4}\usepackage{cmbright}\Huge\$ is $\displaystyle{y}=-\frac{{1}}{{2}}{x}-{2}\usepackage{cmbright}\Huge\$ , so the slope of our line is $\displaystyle-\frac{{1}}{{2}}\usepackage{cmbright}\Huge\$ . The equation $\displaystyle{y}+{1}=-\frac{{1}}{{2}}{\left({x}-{4}\right)}\usepackage{cmbright}\Huge\$ is the point slope form of the line with slope $\displaystyle-\frac{{1}}{{2}}\usepackage{cmbright}\Huge\$ that goes through the point (4, -1), so this is the equation we want.