To determine the slope of the line formed by the given coordinates \((0,0)\), \((1,2)\), \((2,4)\), \((3,6)\), and \((4,8)\), we can use the formula for slope, which is:
\[ \text{slope} (m) = \frac{\text{change in } y}{\text{change in } x} = \frac{y_2 - y_1}{x_2 - x_1} \]
We can use any two points from the coordinates provided. Let's use the points \((0,0)\) and \((1,2)\):
\[ m = \frac{2 - 0}{1 - 0} = \frac{2}{1} = 2 \]
Now, let's verify this by calculating the slope using another pair of points, say \((2,4)\) and \((4,8)\):
\[ m = \frac{8 - 4}{4 - 2} = \frac{4}{2} = 2 \]
Since we can see that the slope calculated from each pair of points is consistently \(2\), we conclude that the slope of the line formed by all the given points is:
\[ \text{slope} = 2 \]
Alternatively, we can also recognize that these points lie on a straight line, and since they are aligned, the slope remains constant between any two points. So, the slope for all points is \(2\).