Use of Maths Linear models Equations of straight lines Finding gradients.

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Presentation transcript:

Use of Maths Linear models Equations of straight lines Finding gradients

Aims Recap from lesson 1 Developing linear models The equation of a straight line

Recap

The equation of a straight line All straight lines have an equation of the form y = mx + c m is the gradient of the line c is the y-intercept Find the gradient and y-intercept for y= 4.8x - 6.9

Fill the gaps EquationGradienty-intercept y = 3x + 1 y = - 0.4x y = 6.2 y + x = 5.2

y = mx + c Re-arrange the following equations into the form y = mx + c and hence state the gradient and intercept with the y-axis 2x + y = 4 3x + y = -6 x + y = 7 2x + 2y = 6

Sketching lines Sketch the following straight line graphs y = 2x + 6 y = - x + 6 y = 6 x = 9

Sketching lines using mini-white boards

y = x

y = x + 2

y = 2x + 4

y = -2x + 1

y = 2.1

x = 3.2

Finding the gradient from the graph Gradient = distance up divided by the distance across Gradient = distance up distance across Gradient = rise run

Find the gradients of these lines

Booklet Ex 1