Graph Slope Intercept C9E6F9

1. **State the problem:** We need to sketch the graph of the equation $$y = 2x$$. 2. **Formula and explanation:** This is a linear equation in slope-intercept form $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. Here, $$m = 2$$ and $$b = 0$$. 3. **Interpretation:** - The slope $$m = 2$$ means the line rises 2 units vertically for every 1 unit it moves horizontally. - The y-intercept $$b = 0$$ means the line passes through the origin $(0,0)$. 4. **Plotting points:** - When $$x = 0$$, $$y = 2 \times 0 = 0$$, so point $(0,0)$ is on the line. - When $$x = 1$$, $$y = 2 \times 1 = 2$$, so point $(1,2)$ is on the line. - When $$x = 2$$, $$y = 2 \times 2 = 4$$, so point $(2,4)$ is on the line. 5. **Graph shape:** The graph is a straight line passing through points $(0,0)$, $(1,2)$, and $(2,4)$ with slope 2. **Final answer:** The graph of $$y = 2x$$ is a straight line through the origin with slope 2, rising 2 units for every 1 unit moved right.