Lesson 7

1. Lesson 7 Section 7: Systems of Equations

2. Graphing a linear equation • All linear equations have the form of……? • Which methods can we use to graph y=2x-3?

3. Graphing a linear equation • Example 2

4. Graphing a linear equation • Find the equation of a line passing through (4,2) and (2,-6) • Q.26, 20

5. Parallel and Perpendicular Lines • Parallel lines have equal …………… • Perpendicular lines have • negative reciprocal slopes.

6. Perpendicular Lines: (negative reciprocal slopes!) Perpendicular lines have negative reciprocal In other words, if a line has gradient m, the perpendicular line has gradient -1 m

8. Example 4, Q.22, 24

9. Graphing lines of the form Ax+By=C • Example 5, 6 • Q.36

10. Solving Systems of Linear Equations Graphically • Example 7, we’ll use our GDCs. • Example 8, can we use our GDCs?

11. Solving Systems of Linear Equations Algebraically • Example 10, Q.32. • Example 11, Q.36

12. Word problems • Example 14 – don’t look! I’ll read it out to you, you need to write the 2 equations. Let’s use PlySmlt to solve this one if you have it.

13. Solving Nonlinear Equations • Example 15, 16. Q.38, 40, 46

14. Homework • Go through notes • Highlight and summarise where necessary • Complete the odd questions from the sections today. • Complete and mark any questions in the exam pack that are in today’s section. • Bring in a summary list of any questions you find difficult/need help with.