1. The problem is to graph the linear equation $y = -2x - 4$ using the slope-intercept form. 2. The slope-intercept form of a line is given by the formula: $$y = mx + b$$ where $m$ is the slope and $b$ is the y-intercept. 3. From the equation $y = -2x - 4$, we identify: - Slope $m = -2$ - Y-intercept $b = -4$ 4. The slope $m = -2$ means that for every 1 unit increase in $x$, $y$ decreases by 2 units. 5. The y-intercept $b = -4$ means the line crosses the y-axis at the point $(0, -4)$. 6. To graph the line: - Start at the point $(0, -4)$ on the y-axis. - From there, use the slope to find another point: move 1 unit right (increase $x$ by 1) and 2 units down (decrease $y$ by 2) to reach the point $(1, -6)$. 7. Plot these points and draw a straight line through them extending across the coordinate plane. This line represents the graph of $y = -2x - 4$.