The slope-intercept form of a line is $\displaystyle{y}={m}{x}+{b}\usepackage{cmbright}\Huge\$ , where m is equal to the slope of the line and b is equal to the y-intercept. The point $\displaystyle{\left({0},-{2}\right)}\usepackage{cmbright}\Huge\$ is the y-intercept of the line, so $\displaystyle{b}=-{2}\usepackage{cmbright}\Huge\$ . Since you move three units up and one unit to the right to get to the point (1, 1), the slope is $\displaystyle\frac{{{r}{i}{s}{e}}}{{{r}{u}{n}}}=\frac{{3}}{{1}}={3}\usepackage{cmbright}\Huge\$ .