1. **Problem:** Sketch the graph of the linear equation $$4x - 2y = -12$$ in slope-intercept form. 2. **Convert to slope-intercept form:** The slope-intercept form is $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. Starting with $$4x - 2y = -12$$: $$-2y = -4x - 12$$ Divide both sides by $$-2$$: $$y = 2x + 6$$ 3. **Interpretation:** The slope $$m = 2$$ means the line rises 2 units for every 1 unit it moves right. The y-intercept $$b = 6$$ means the line crosses the y-axis at (0, 6). 4. **Final answer:** The equation in slope-intercept form is $$y = 2x + 6$$. This line can be graphed by plotting the point (0, 6) and using the slope to find other points.