1. 1.3 The Intersection Point of Lines System of Equation A system of two equations in two variables looks like: – Notice, these are both lines. Linear Systems Graphically Two lines can: – Intersect – Be parallel – Be the same line Which means the number of solutions (or intersection points) is, respectively: – One – None – Infinite

2. 1.3 The Intersection Point of Lines Solving Systems of Equations In order to solve a system, you: – Find the point of intersection Graphically Algebraically There are some other more complex ways we will discuss later – Or state the number of solutions When there are infinite or no points of intersection Find the point of intersection. (Solve the system)

3. 1.3 The Intersection Point of Lines Solving Systems of Equations

4. 1.3 The Intersection Point of Lines Solving Systems of Equations

5. 1.3 The Intersection Point of Lines Solving Systems of Equations

6. 1.3 The Intersection Point of Lines Problems from 1.3 to complete: – #11 – 6, 9, 10