1. **State the problem:** We need to select the graph that matches the equation $$y = 4x - 2$$. 2. **Recall the slope-intercept form:** The equation is in the form $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Identify slope and intercept:** Here, $$m = 4$$ and $$b = -2$$. 4. **Interpret slope and intercept:** The slope $$4$$ means the line rises 4 units vertically for every 1 unit it moves horizontally to the right. 5. **Plot the y-intercept:** The line crosses the y-axis at $$-2$$ (point $$(0, -2)$$). 6. **Determine the line's direction:** Since the slope is positive, the line goes upward from left to right. 7. **Match with graph options:** - Graph A: Upward sloping line. - Graph B: Slight negative slope. - Graph C: U-shaped curve (parabola). - Graph D: Downward sloping line. 8. **Conclusion:** The correct graph is **Graph A** because it shows an upward sloping line crossing the y-axis below zero, consistent with $$y = 4x - 2$$. **Final answer:** Graph A