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

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Presentation transcript:

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

Plotting straight line graphs x y x y

y = 3x -- 1

x-2012 y x-2012 y

y = -- 5x + 2

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

Finding gradients of straight lines

Calculate the gradient of the line below

Finding the gradient or slope of a wave

Finding the gradient or slope of a ski run

Find the gradients of the lines joining these points

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

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

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

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

Find the equation of the line joining the points below;

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

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)