1. **State the problem:** Find the slope and y-intercept for each given linear equation. 2. **Recall the slope-intercept form:** The equation of a line in slope-intercept form is $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. **Problem 20, first equation:** $$y = \frac{3}{2}x - 2$$ - The slope $m$ is the coefficient of $x$, which is $\frac{3}{2}$. - The y-intercept $b$ is the constant term, which is $-2$. 4. **Problem 20, second equation:** $$y = -\frac{3}{4}x + 6$$ - The slope $m$ is $-\frac{3}{4}$. - The y-intercept $b$ is $6$. 5. **Problem 21:** Given equation $$7x - y = 3$$ - Rearrange to slope-intercept form by isolating $y$: $$7x - y = 3$$ $$-y = 3 - 7x$$ $$y = -3 + 7x$$ - Rewrite as $$y = 7x - 3$$ - The slope $m$ is $7$. - The y-intercept $b$ is $-3$. **Final answers:** - For $y = \frac{3}{2}x - 2$: slope = $\frac{3}{2}$, y-intercept = $-2$ - For $y = -\frac{3}{4}x + 6$: slope = $-\frac{3}{4}$, y-intercept = $6$ - For $7x - y = 3$: slope = $7$, y-intercept = $-3$