1. **State the problem:** We need to find the slope $m$ of the line given by the equation $y = \frac{3}{2}x$. 2. **Recall the slope formula:** The slope-intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y-intercept. 3. **Identify the slope:** In the equation $y = \frac{3}{2}x$, the coefficient of $x$ is $\frac{3}{2}$, so the slope $m = \frac{3}{2}$. 4. **Interpret the slope:** The slope $m = \frac{3}{2}$ means for every 2 units moved horizontally (run), the line rises 3 units vertically (rise). 5. **Fill in the blanks:** Slope $(m) = $ unit rate $= \frac{\text{rise}}{\text{run}} = \frac{3}{2}$ or $1.5$. **Final answer:** $$m = \frac{3}{2}$$