What is the slope of the line that passes through the points $(-1,-2)$ and $(-1,-3) ?$
Final Answer: The slope is \(\boxed{\text{undefined}}\).
Step 1 :The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ can be calculated using the formula $\frac{y_2 - y_1}{x_2 - x_1}$.
Step 2 :In this case, the x-coordinates of both points are the same, which means the line is vertical.
Step 3 :The slope of a vertical line is undefined.
Step 4 :Therefore, the slope of the line that passes through the points $(-1,-2)$ and $(-1,-3)$ is undefined.
Step 5 :Final Answer: The slope is \(\boxed{\text{undefined}}\).