1. **State the problem:** Solve the system of equations by graphing: $$3x + y = -3$$ $$3x + y = 3$$ 2. **Rewrite each equation in slope-intercept form $y = mx + b$ to identify slopes and intercepts:** For the first equation: $$3x + y = -3 \implies y = -3x - 3$$ For the second equation: $$3x + y = 3 \implies y = -3x + 3$$ 3. **Analyze the slopes and intercepts:** - Both lines have slope $m = -3$. - The first line has $y$-intercept $b = -3$. - The second line has $y$-intercept $b = 3$. 4. **Interpretation:** - Since both lines have the same slope but different intercepts, they are parallel lines. - Parallel lines never intersect. 5. **Answer the questions:** **a. What kind of lines are formed?** They are parallel lines. **b. Is there a point of intersection?** No, there is no point of intersection. **c. Identify the point of intersection.** Since the lines do not intersect, there is no point of intersection. **d. Based on the graphs, what kind of system of equation does it illustrate?** It illustrates an inconsistent system (no solution). **e. How many solutions are there in this kind of system of linear equation?** There are zero solutions. **Final conclusion:** The system has no solution because the lines are parallel and do not intersect.