The naive approach is to make yourself a table, with $10$ rows (one for each $x_i$ with: $x_1 = 1, x_2 = 2, \dots, x_{10} = 10$). The first column would be $f(x_i)$, the second column would be $x_i - x_{i-1}$ (you should notice an obvious pattern in this column), the third column would be $f(x_i) - f(x_{i-1})$, and the fourth column would be:
$\dfrac{f(x_i) - f(x_{i-1})}{x_i - x_{i-1}}$
(and if you noticed the pattern in the second column, you might not need this last one....why?)
To get this started, set $x_0 = 0$, with $f(x_0) = f(0) = 1$.
Note that Henry's answer above gives a short-cut, this is "the long way".
The first row (for $x_1 = 1$) would look like this:
$f(1) = 5;\ \ x_1 - x_0 = 1 -0 = 1;\ \ f(1) - f(0) = 5-1 = 4;$ slope $= 4/1 = 4$.
Nine more to go....