Search over 10,000 free study notes

Rearrange line into standard form.

y=5/3*x +1 

For parallel lines the gradient is the same therefore m = 5/3

Point of intersection is where two lines equal eachother

multiply o...

aw + 3 = 4(bw + 5)    Let's get rid of those brackets...
aw + 3 = 4bw + 20    Now we rearrange...
aw - 4bw = 17        Factorise...
w(a - 4b) = 17        Final rearrange...
w = 17 ...

The derivative of a function f(x), usually denoted as f'(x), gives you the gradient of the graph of f(x) for every point x in the domain of f. Therefoore, the derivative of a funtion can show how fast/slo...

Let's say we have the equation y = 2x + c and we are told that the line passes through the point (3, 4).  Our first step is to use the numbers from the point (3, 4), by substituting them into our equation...

From first principles: ax10^4 is the same as a0000. ax10^2 is the same as a00

So, a0000

          a00

     a0a00

If we look at this pattern and compare to the number in ...