To find the slope of a line given the data points in a table, we use the formula for the slope $m$:

$m = \frac{{y_2 - y_1}}{{x_2 - x_1}}$

Using the points from the table:

Let's calculate the slope between two consecutive points, for example between $(x_1, y_1) = (0, 13)$ and $(x_2, y_2) = (1, 7)$:

$m = \frac{{7 - 13}}{{1 - 0}} = \frac{{-6}}{{1}} = -6$

To confirm consistency, check the slope between other points, such as $(x_1, y_1) = (-1, 19)$ and $(x_2, y_2) = (0, 13)$:

$m = \frac{{13 - 19}}{{0 - (-1)}} = \frac{{-6}}{{1}} = -6$

Thus, the slope of the line is $m = -6$.

Would you like more details or have any other questions?

Here are some related questions:

1. How do you find the slope if points are given in a different format?
2. What is the interpretation of a negative slope in real-world terms?
3. How do you find the equation of a line once you know the slope?
4. What are the different forms of linear equations?
5. How do you determine if two lines are parallel or perpendicular based on their slopes?

Tip: The slope of a line indicates how steep the line is and whether it increases or decreases as you move from left to right.