Slope equation

To calculate the slope \( m \) of the line that goes through the points \((0, -1)\) and \((2, 0)\), you can use the slope formula:

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Here, we can assign the coordinates of the points as follows:

• \((x_1, y_1) = (0, -1)\)
• \((x_2, y_2) = (2, 0)\)

Now, plug these values into the formula:

\[ m = \frac{0 - (-1)}{2 - 0} = \frac{0 + 1}{2 - 0} = \frac{1}{2} \]

So, the slope of the line is:

\[ \boxed{\frac{1}{2}} \]