Linear+Systems-Target+B-Solution?+What+Solution?-Investigations

**Target 5B: Explain and Justify the Number of Solutions for any System of Linear Equations**
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 * Explore the slopes and y-intercepts for a system of two linear equations.**


 * a) Try to get the lines to be parallel, what do you notice about the slopes? What is the solution?**


 * b) Try to get the lines to cross once, what do you notice about the slopes? What is the solution?**


 * c) Try to get the lines to be parallel but different y-intercepts, what do you notice about the slope and y-intercepts? What is the solution?**


 * d) Try to get the lines to be parallel and the same y-intercept, what do you notice about the slope and y-intercepts? What is the solution?**


 * e) Review: Give the slope and y-intercept summary for the lines that would create each of these answers: No Solution, Infinite Answers, Exactly One Answer.**