1. Linear Graphs and Modelling Plotting straight line graphs Plotting linear graphs on the calculator Finding gradients of straight lines Equations of straight lines Sketching straight line graphs Applications of linear modelling

2. Plotting straight line graphs x-3-20123 y x-3-20123 y-10-7-4258

3. y = 3x -- 1

4. x-2012 y x-2012 y1272-3-8

5. y = -- 5x + 2

6. Using the CAS calculator to plot linear graphs Using the Spreadsheet screen p.122 Using Graphs & Tables screen p.123

7. Finding gradients of straight lines

8. Calculate the gradient of the line below

9. Finding the gradient or slope of a wave

11. Finding the gradient or slope of a ski run

12. Find the gradients of the lines joining these points

13. Finding the equation of a straight line Where m is the gradient and c is the y-intercept

14. When the gradient and y-intercept are known; Write the equation when the gradient is 2 and the y- intercept is -4 y = 2x – 4

15. Finding the equation of a straight line When the gradient and one point on the line are known m = gradient c = y – mx [ substituting the (x,y) values of the point into this equation] Write the equation when the gradient is ½, passing through (-4, -1) y = ½x +1

16. Finding the equation of a straight line When just two points on the line are known c = y – mx [ substituting the (x,y) values of one point into this equation] Write the equation for the line that passes through the points (-1, 4), (2, 10) y = 2x + 6

17. Find the equation of the line joining the points below;

18. Using the CAS calculator to find the equation between two points p.130

19. Sketching straight line graphs 1.The gradient-intercept method 2.The x-y-intercept method (using the CAS calculator for when x=0 and y=0)