Answer:
Slope = 0
Explanation:
Given two points on a line:
![\begin{gathered} (x_1,y_1)=(0,3) \\ \left(x_2,y_2\right)=\left(-2,3\right) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/f0c04h8gzecbz6oxlkxrcrwqfxpwel1i68.png)
To find the slope of the line, we use the formula below:
![\text{Slope},m=\frac{Change\text{ in y-axis}}{Change\text{ in x-axis}}=(y_2-y_1)/(x_2-x_1)](https://img.qammunity.org/2023/formulas/mathematics/college/l5e0c9kvbp6ufm0iplb2qkfm9s21v0lkcu.png)
Substitute the given values:
![m=(3-3)/(-2-0)=(0)/(-2)=0](https://img.qammunity.org/2023/formulas/mathematics/college/h7g8j4dummaz0wqcpihsxk30a8uyw3mbz0.png)
The slope of the line is 0.
Note: The line is a horizontal line passing through y=3. In general, the slope of any horizontal line is always 0.