1. The problem asks to identify the graph of the slope-intercept equation $$y = -\frac{2}{3}x - 1$$. 2. The slope-intercept form of a line is $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 3. For the equation $$y = -\frac{2}{3}x - 1$$, the slope $$m = -\frac{2}{3}$$ and the y-intercept $$b = -1$$. 4. This means the line crosses the y-axis at $$-1$$ and has a negative slope, so it should go downwards from left to right. 5. To verify, check points using the slope: - Starting at (0, -1), moving 3 units right (x from 0 to 3), the y should decrease by 2 (since slope is -2/3), so y at x=3 is $$-1 - 2 = -3$$. - Similarly, at x = -3, y should be $$-1 + 2 = 1$$. 6. The top-left graph matches this description: it has a negative slope, crosses y-axis at -1, and passes through approximately (-3, 1) and (3, -3). Final answer: The graph in the top-left represents the equation $$y = -\frac{2}{3}x - 1$$.