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Use of MathsLinear models
Equations of straight linesFinding 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
Equation Gradient y-intercepty = 3x + 1y = - 0.4x - 0.8
2.1 -0.730 3.1
y = 6.2y + 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 linesSketch 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 updistance across
Gradient = riserun
Find the gradients of these lines
Booklet Ex 1
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