1. **Problem Statement:** Identify the slope and y-intercept of the linear equation $$y = -2x + 4$$ and explain how to graph it. 2. **Formula and Rules:** The slope-intercept form of a linear equation is $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Identify slope and y-intercept:** From $$y = -2x + 4$$, the slope $$m = -2$$ and the y-intercept $$b = 4$$. 4. **Interpretation:** The slope $$-2$$ means for every 1 unit increase in $$x$$, $$y$$ decreases by 2 units (rise/run = -2/1). 5. **Graphing steps:** - Start at the y-intercept point $$(0,4)$$ on the graph. - From $$(0,4)$$, move down 2 units and right 1 unit to plot the next point at $$(1,2)$$. - Draw a straight line through these points extending in both directions. 6. **Summary:** The line crosses the y-axis at 4 and slopes downward with a steepness of 2. Final answer: slope = $$-2$$, y-intercept = $$(0,4)$$.