Recognise the equations of straightline graphs
The general equation for straight line graphs is given by
y = mx + c
Where m is the gradient of the line, and c is the yintercept (where it cuts the yaxis)
The main distinction in a straight line graph is that you do not have x to the power of anything e.g x^{2 }is not linear.
Examples:
y = 2x is linear. There is no 'c' but that just means c = 0 and the line cuts the yaxis at y=0.
y = 2x^{3} + 1 is not linear.
2y = x + 1 is linear. You can rewrite this equation to get in a more familiar notation as y = 0.5x + 0.5, which is linear.
To work out the equation of any straight line graph you just need to find those two things, the gradient (m) and the yintercept (c).
Now when you work through your next algebra worksheet you should be able to confidently recognise the equations of straight line graphs.
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