The slope of the line is
.
The slope of a line in a coordinate plane can be calculated using the formula:
![\[ \text{Slope} (m) = \frac{\text{change in } y}{\text{change in } x} \]](https://img.qammunity.org/2023/formulas/mathematics/high-school/ka04zjj6inaj8o9djforq29251n3kzekkh.png)
Given that the line intersects the points (0, 2) and (1, 0), we can use these coordinates to calculate the slope.
Let's denote the coordinates as (x₁, y₁) = (0, 2) and (x₂, y₂) = (1, 0).
![\[ \text{Slope} (m) = (y_2 - y_1)/(x_2 - x_1) \]](https://img.qammunity.org/2023/formulas/mathematics/high-school/3gopjfcegh1iy7w36ctys4bvt6mqps5bjt.png)
![\[ \text{Slope} (m) = (0 - 2)/(1 - 0) \]](https://img.qammunity.org/2023/formulas/mathematics/high-school/vbfkw1fwzoiki9x4xhzrrfern0aumptyni.png)
![\[ \text{Slope} (m) = (-2)/(1) \]](https://img.qammunity.org/2023/formulas/mathematics/high-school/1o3r9nkczxkxmcv623vwo1izepmck7xug7.png)
Therefore, the slope of the line is
![\(-2\)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ihufemn9uy7lzcg11nbxapulcxcvqfxmwx.png)