This applet generates a straight line at the click of a button. From the line on a grid, you can calculate both the gradient and intercept, if the latter is visible. Otherwise, you need to find the gradient of the line and the coordinates of any point through which the line passes.
E.g.
If the gradient is 2 and the point that the line passes through is (5,8), the equation of the line can be calculated as follows:
y = mx + c
m = 2, x = 5, y = 8
8 = 2(5) + c
8 = 10 + c
c = -2
The equation of the line is, y = 2x -2.
Once you do the calculation, just tick the 'Answer' checkbox that will reveal the answer. Then, you can generate the next random line and the process can be continued up until you get a thorough practise.
This is ideal for those who are in Year 9 and GCSE/IGCSE/GCE OL.
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