Graph Linear A9Fcb1

1. **State the problem:** We need to sketch the graph of the linear equation $$y = -2x - 2$$. 2. **Formula and rules:** This is a linear equation in slope-intercept form $$y = mx + b$$, where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Identify slope and intercept:** Here, $$m = -2$$ and $$b = -2$$. 4. **Plot the y-intercept:** The line crosses the y-axis at $$y = -2$$, so plot the point $$(0, -2)$$. 5. **Use the slope to find another point:** The slope $$-2$$ means for every increase of 1 in $$x$$, $$y$$ decreases by 2. 6. **Calculate second point:** Starting from $$(0, -2)$$, when $$x = 1$$, $$y = -2(1) - 2 = -2 - 2 = -4$$, so plot $$(1, -4)$$. 7. **Draw the line:** Connect the points $$(0, -2)$$ and $$(1, -4)$$ with a straight line extending across the grid. 8. **Summary:** The graph is a straight line with slope $$-2$$ passing through $$(0, -2)$$ and $$(1, -4)$$.