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