equation of a line in slope-intercept form given slope and y-intercept

The slope-intercept form of a linear equation is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. Given slope $m = \frac{2}{3}$ and y-intercept $(0, -2)$, so $b = -2$. Substituting these values gives $y = \frac{2}{3}x - 2$.