Line Plot 644D19

1. **State the problem:** We need to plot points on the coordinate grid for the line given by the equation $$y = -3x - 6$$ and connect these points with a line. 2. **Formula and rules:** The equation is in slope-intercept form $$y = mx + b$$ where $$m$$ is the slope and $$b$$ is the y-intercept. 3. **Identify slope and intercept:** Here, $$m = -3$$ and $$b = -6$$. 4. **Find points:** Start with the y-intercept point where $$x=0$$: $$y = -3(0) - 6 = -6$$ So point 1 is $$(0, -6)$$. 5. **Find another point:** Choose $$x=1$$: $$y = -3(1) - 6 = -3 - 6 = -9$$ So point 2 is $$(1, -9)$$. 6. **Find a third point:** Choose $$x=-1$$: $$y = -3(-1) - 6 = 3 - 6 = -3$$ So point 3 is $$(-1, -3)$$. 7. **Plot points:** Plot $$(0, -6)$$, $$(1, -9)$$, and $$(-1, -3)$$ on the coordinate grid. 8. **Connect points:** Draw a straight line through these points to represent the equation $$y = -3x - 6$$. **Final answer:** The points $$(0, -6)$$, $$(1, -9)$$, and $$(-1, -3)$$ lie on the line $$y = -3x - 6$$ and connecting them forms the graph of the line.