1. **State the problem:** Convert the equation $2x - 3y = 5$ to slope-intercept form $y = mx + b$. 2. **Recall slope-intercept form:** The slope-intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Isolate $y$:** Start with the equation: $$2x - 3y = 5$$ Subtract $2x$ from both sides: $$-3y = 5 - 2x$$ 4. **Divide both sides by $-3$ to solve for $y$:** $$y = \frac{5 - 2x}{-3}$$ Write as: $$y = \frac{5}{-3} - \frac{2x}{-3}$$ 5. **Simplify the fractions:** $$y = -\frac{5}{3} + \frac{2}{3}x$$ Rewrite in standard slope-intercept form: $$y = \frac{2}{3}x - \frac{5}{3}$$ 6. **Final answer:** The slope-intercept form is $y = \frac{2}{3}x - \frac{5}{3}$.